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LK9:;: NHDHUK KFKLKDU @D@FXZHZ ^H ZKL LKJC@DHJ@F KDMHDKKYHDM YKM[F@UHBD 9 3 P[KZUHBD I@DA, JF@ZZ DBUKZ & NBYL[F@ IBBA WYKW@YKE IX @ZCBA A[L@Y. Y L.K (J@E)  

FEA QUESTION WITH CLASS NOTES AND FORMULA BOOK

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Page 1: FEA QUESTION WITH CLASS NOTES AND FORMULA BOOK

7/22/2019 FEA QUESTION WITH CLASS NOTES AND FORMULA BOOK

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LK9:;: NHDHUK KFKLKDU @D@FXZHZ

^H ZKL LKJC@DHJ@F KDMHDKKYHDM

YKM[F@UHBD 9 3

P[KZUHBD I@DA, JF@ZZ DBUKZ

& NBYL[F@ IBBAWYKW@YKE IX

@ZCBA A[L@Y. Y L.K (J@E) 

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NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc) 0 

Y.L.A JBFFKMK BN KDMHDKKYHDM @DE

UKJCDBFBMX 

YZL D@M@Y, W[E[^BX@F->7097> 

@ZZHMDLKDU P[KZUHBDZ 

LK9:;:  ‚  NHDHUK KFKLKDU @D@FXZHZ 

HHH I.K. ^H Zkl. LK

EKJ‘ : ‚ L@X‘ 5 

[DHU  ‚  H  ‚  NHDHUK KFKLKDU NBYL[F@UHBD BN IB[DE@YX ^@F[K

WYBIFKLZ

W@YU ‚ 

 @0.0)  ]c`t hs tck nhdhtk kfklkdt lktcbe2

0.9)  Cbw ebks tck nhdhtk kfklkdt lktcbe wbra2

0.:)  ]c`t `rk tck l`hd stkps hdvbfvke hd NK@.  Q@[, @prhf / L`y ‚  9700\  

0.5)  ]rhtk tck stkps hdvbfvke hd ekvkfbphdm nhdhtk kfklkdt lbekf.

0.;)  ]c`t `rk tck i`shj `pprb`jcks tb hlprbvk ` nhdhtk kfklkdt lbekf2

 Q@[, Dbv / Ekj ‚ 

 9707\  

0.>)  ]rhtk `dy twb `ev`dt`mks bn NKL @d`fyshs.  Q@[, Dbv / Ekj ‚  9709\  

0.=)  ]c`t `rk tck lktcbes mkdkr`ffy `ssbjh`tke whtc nhdhtk kfklkdt `d`fyshs2

0.3)  Fhst `dy nbur `ev`dt`mks bn nhdhtk kfklkdt lktcbe.  Q@[, @prhf / L`y ‚  9773\  

0.8)  ]c`t `rk tck `ppfhj`thbds bn NK@2  Q@[, @prhf / L`y ‚  9700\  

0.07)  Eknhdk nhdhtk ehnnkrkdjk lktcbe.

0.00)  ]c`t hs tck fhlht`thbd bn ushdm ` nhdhtk ehnnkrkdjk lktcbe2 Q@[, @prhf / L`y ‚  9707\  

0.09)  Eknhdk nhdhtk vbfulk lktcbe.

0.0:)  Ehnnkrkdth`tk nhdhtk kfklkdt lktcbe nrbl nhdhtk ehnnkrkdjk lktcbe.

0.05)  Ehnnkrkdth`tk nhdhtk kfklkdt lktcbe nrbl nhdhtk vbfulk lktcbe.

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  9 

0.0;)  ]c`t eb ybu lk`d iy ehsjrkthz`thbd hd nhdhtk kfklkdt lktcbe2

0.0>)  ]c`t hs ehsjrkthz`thbd2  Q@[, Dbv / Ekj ‚  9707\  

0.0=)  Fhst tck typks bn dbeks.  Q@[, L`y / Oudk ‚  9709\  

0.03)  Eknhdk ekmrkk bn nrkkebl.

0.08)  ]c`t hs lk`dt iy ekmrkks bn nrkkebl2  Q@[, Dbv / Ekj ‚ 

 9709\  

0.97)  Zt`tk tck `ev`dt`mk bn nhdhtk kfklkdt lktcbe bvkr btckr dulkrhj`f `d`fyshs

lktcbes.

0.90)  Zt`tk tck nhkfes tb wchjc NK@ sbfvhdm prbjkeurk hs `ppfhj`ifk.

0.99)  ]c`t hs ` strujtur`f ̀ de dbd-strujtur`f prbifkl2

0.9:)  Ehsthdmuhsc iktwkkd 0E i`r kfklkdt `de 0E ik`l kfklkdt.

 Q@[, Dbv / Ekj ‚  9778, L`y / Oudk  ‚  9700\  

0.95)  ]rhtk tck kquhfhirhul kqu`thbd nbr `d kfklkdt`f vbfulk hd :E hdjfuehdm tck ibey

nbrjk.

0.9;)  Cbw tb wrhtk tck kquhfhirhul kqu`thbd nbr ` nhdhtk kfklkdt2 Q@[, Dbv / Ekj ‚  9709\  

0.9>)  Jf`sshny ibude`ry jbdehthbds.  Q@[, Dbv / Ekj ‚  9700\  

0.9=)  ]c`t `rk tck typks bn ibude`ry jbdehthbds2

0.93)  ]c`t eb ybu lk`d iy ibude`ry jbdehthbd `de ibude`ry v`fuk prbifkl2

0.98)  ]rhtk tck ehnnkrkdjk iktwkkd hdhth`f v`fuk prbifkl `de ibude`ry v`fuk prbifkl.

0.:7)  ]c`t `rk tck ehnnkrkdt typks bn ibude`ry jbdehthbds2 Mhvk kx`lpfks.

 Q@[, L`y / Oudk ‚  9709\  

0.:0)  Fhst tck v`rhbus lktcbes bn sbfvhdm ibude`ry v`fuk prbifkls.

 Q@[, @prhf / L`y ‚  9707\  

0.:9)  ]rhtk ebwd tck ibude`ry jbdehthbds bn ` j`dthfkvkr ik`l @I bn sp`d F nhxke `t @

`de nrkk `t I suiokjtke tb ` udhnbrlfy ehstrhiutke fb`e bn W tcrbumcbut tck sp`d.

 Q@[, L`y / Oudk ‚  9778, 9700\  

0.::)  Irhknfy kxpf`hd nbrjk lktcbe ̀ de sthnndkss lktcbe.

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  : 

0.:5)  ]c`t hs `spkjt r`thb2 

0.:;)  ]rhtk ` scbrt dbtk bd strkss ‚  str`hd rkf`thbd.

0.:>)  ]rhtk ebwd tck strkss str`hd rkf`thbdschp nbr ̀ tcrkk ehlkdshbd`f strkss nhkfe.

 Q@[, @prhf / L`y ‚  9700\  

0.:=)  Zt`tk tck knnkjt bn Wbhssbd‘s r`thb. 

0.:3)  Eknhdk tbt`f pbtkdth`f kdkrmy bn `d kf`sthj ibey.

0.:8)  ]rhtk tck pbtkdth`f kdkrmy nbr ik`l bn sp`d  F shlpfy suppbrtke `t kdes, suiokjtke

tb ` jbdjkdtr`tke fb`e W  `t lhe sp`d. @ssulk KH jbdst`dt.

 Q@[, @prhf / L`y, Dbv / Ekj ‚  9773\  

0.57)  Zt`tk tck prhdjhpfk bn lhdhlul pbtkdth`f kdkrmy.

 Q@[, Dbv / Ekj ‚  977=, 970:, @prhf / L`y  ‚  9778\  

0.50)  Cbw whff ybu bit`hd tbt`f pbtkdth`f kdkrmy bn ` strujtur`f systkl2

 Q@[, @prhf / L`y ‚  9700, L`y / Oudk ‚  9709\  

0.59)  ]rhtk ebwd tck pbtkdth`f kdkrmy nudjthbd nbr ` tcrkk ehlkdshbd`f eknbrl`ifk ibey

hd tkrls bn str`hd `de ehspf`jklkdts.  Q@[, L`y / Oudk ‚  9778\  

0.5:)  ]c`t scbufe ik jbdshekrke eurhdm phkjkwhsk trh`f nudjthbds2

 Q@[, @prhf / L`y ‚  9700\  

0.55)  ]c`t eb ybu udekrst`de iy tck tkrl ‖phkjkwhsk jbdthdubus nudjthbd“2

 Q@[, Dbv / Ekj ‚  970:\  

0.5;)   D`lk tck wkhmctke rksheu`f lktcbes.  Q@[, Dbv / Ekj ‚  9700\  

0.5>)  ]c`t hs tck usk bn Yhtz lktcbe2  Q@[, Dbv / Ekj ‚  9700\  

0.5=)  Lkdthbd tck i`shj stkps bn Y`yfkhmc-Yhtz lktcbe.  Q@[, @prhf / L`y ‚ 

 9700\  

0.53)  Chmcfhmct tck kquhv`fkdjk `de tck ehnnkrkdjk iktwkkd Y`yfkhmc Yhtz lktcbe `de tck

nhdhtk kfklkdt lktcbe.  Q@[, Dbv / Ekj ‚  9709\  

0.58)  Ehsthdmuhsc iktwkkd Y`yfkhmc Yhtz lktcbe `de nhdhtk kfklkdt lktcbe.

 Q@[, Dbv / Ekj ‚  970:\  

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  5 

0.;7)  Ehsthdmuhsc iktwkkd Y`yfkhmc Yhtz lktcbe `de nhdhtk kfklkdt lktcbe whtc rkm`re

tb jcbbshdm ehspf`jklkdt nudjthbd.  Q@[, Dbv / Ekj ‚  9707\  

0.;0)  ]cy `rk pbfydblh`f typks bn hdtkrpbf`thbd nudjthbds prknkrrke bvkr trhmbdblktrhj

nudjthbds2  Q@[, @prhf / L`y ‚  9778, L`y / Oudk  ‚  970:\  

0.;9)  ]c`t hs lk`dt iy wk`a nbrluf`thbd2  Q@[, L`y / Oudk ‚ 

 970:\  

0.;:)  Eknhdk tck prhdjhpfk bn vhrtu`f wbra.

0.;5)  Ehnnkrkdth`tk ̂ bd Lhsks strkss ̀ de prhdjhpfk strkss.

0.;;)  ]c`t eb ybu lk`d iy jbdsthtuthvk f`w2 Q@[, Dbv / Ekj ‚  977=, @prhf / L`y  ‚  9778\  

0.;>)  ]c`t `rk c `de p vkrshbds bn nhdhtk kfklkdt lktcbe2

0.;=)  ]c`t hs tck ehnnkrkdjk iktwkkd st`thj `de eyd`lhj `d`fyshs2

0.;3)  Lkdthbd twb shtu`thbds wckrk M`fkrahd‘s lktcbe hs prknkr`ifk tb Y`yfkhmc ‚   Yhtz

lktcbe.  Q@[, Dbv / Ekj ‚  970:\  

0.;8)  ]c`t hs M`fkrahd lktcbe bn ̀ pprbxhl`thbd2  Q@[, Dbv / Ekj ‚  9778\  

0.>7)  ]c`t hs ` wkhmctke rksuhe`f lktcbe2  Q@[, Dbv / Ekj ‚  9707\  

0.>0)  Ehsthdmuhsc iktwkkd pbtkdth`f kdkrmy ̀ de pbtkdth`f kdkrmy nudjthbd`f.

0.>9)   D`lk `dy nbur NK@ sbntw`rk

W@YU  ‚  I

0.>:)  Kxpf`hd tck stkp iy stkp prbjkeurk bn NK@.  Q@[, Dbv / Ekj ‚  9707\  

0.>5)  Kxpf`hd tck mkdkr`f prbjkeurk bn nhdhtk kfklkdt `d`fyshs.  Q@[, Dbv / Ekj ‚  9700\  

0.>;)  Irhknfy kxpf`hd tck st`mks hdvbfvke hd NK@.

0.>>)  Kxpf`hd tck stkp iy stkp prbjkeurk bn NKL.  Q@[, Dbv / Ekj ‚  9700\  

0.>=)  Fhst but tck mkdkr`f prbjkeurk nbr NK@ prbifkls.  Q@[, L`y / Oudk ‚  9709\  

0.>3)  Jblp`rk NKL whtc btckr lktcbes bn `d`fyshs.  Q@[, Dbv / Ekj ‚  9707\  

0.>8)  Eknhdk ehsjrkthz`thbd. Kxpf`hd lksc rknhdklkdt.  Q@[, Dbv / Ekj ‚  9707\  

0.=7)  Kxpf`hd tck v`rhbus `spkjts pkrt`hdhdm tb ehsjrkthz`thbd, prbjkss hd nhdhtk kfklkdt

lbekfhdm ̀ d`fyshs.  Q@[, Dbv / Ekj ‚  970:\  

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  ; 

0.=0)  Kxpf`hd tck prbjkss bn ehsjrkthz`thbd bn ` strujturk hd nhdhtk kfklkdt lktcbe hd

ekt`hf, whtc suht`ifk hffustr`thbds nbr k`jc `spkjt ikhdm & ehsjusske.

 Q@[, Dbv / Ekj ‚  9709\  

0.=9)  Ehsjuss prbjkeurk ushdm tck jbllkrjh`f p`ja`mk (W.J. Wrbmr`ls) `v`hf`ifk tbe`y

nbr sbfvhdm prbifkls bn NKL. U`ak ` strujtur`f prbifkl tb kxpf`hd tck s`lk. Q@[, Dbv / Ekj ‚  9700\  

0.=:)  Zt`tk tck hlpbrt`djk bn fbj`thdm dbeks hd nhdhtk kfklkdt lbekf.

 Q@[, Dbv / Ekj ‚  9700\  

0.=5)  ]rhtk ` irhkn dbtk bd tck nbffbwhdm.

(`)  hsbtrbphj l`tkrh`f

(i)  brtcbtrbphj l`tkrh`f

(j)  `dhsbtrbphj l`tkrh`f

0.=;)  ]c`t `rk hdhth`f `de nhd`f ibude`ry v`fuk prbifkls2 Kxpf`hd.

 Q@[, Dbv / Ekj ‚  9707\  

0.=>)  Kxpf`hd tck Wbtkdth`f Kdkrmy @pprb`jc  Q@[, Dbv / Ekj ‚  9707\  

0.==)  Kxpf`hd tck prhdjhpfk bn lhdhlhz`thbd bn pbtkdth`f kdkrmy. Q@[, Dbv / Ekj ‚  9700\  

0.=3)  Kxpf`hd tck nbur wkhmctke rksheu`f lktcbes.  Q@[, Dbv / Ekj ‚  9700\  

0.=8)  Kxpf`hd Yhtz lktcbe whtc `d kx`lpfk.  Q@[, @prhf / L`y ‚  9700\  

0.37)  Kxpf`hd Y`yfkhmc Yhtz ̀ de M`fkrahd nbrluf`thbd whtc kx`lpfk.

 Q@[, L`y / Oudk ‚  9709\  

0.30)  ]rhtk scbrt dbtks bd M`fkrahd lktcbe2  Q@[, @prhf / L`y ‚  9778\  

0.39)  Ehsjuss strkssks ̀ de kquhfhirhul bn ̀ tcrkk ehlkdshbd`f ibey.

 Q@[, L`y / Oudk ‚  9709\  

0.3:)  Ekrhvk tck kfklkdt fkvkf kqu`thbd nbr bdk ehlkdshbd`f i`r kfklkdt i`ske bd tck

st`thbd- bn ` nudjthbd`f.  Q@[, L`y / Oudk ‚  9709\  

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  > 

0.35)  Ekrhvk tck jc`r`jtkrhsthj kqu`thbds nbr tck bdk ehlkdshbd`f i`r kfklkdt iy ushdm

 phkjk-whsk eknhdke hdtkrpbf`thbds `de wk`a nbrl bn tck wkhmctke rksheu`f lktcbe2

 Q@[, L`y / Oudk ‚  9709\  

0.3;)  Ekvkfbp tck wk`a nbrl `de ektkrlhdk tck ehspf`jklkdt nhkfe nbr ` j`dthfkvkr ik`l

suiokjtke tb ` udhnbrlfy ehstrhiutke fb`e `de ` pbhdt fb`e `jthdm `t tck nrkk kde. Q@[, Dbv / Ekj ‚  970:\  

0.3>)  Kxpf`hd M`ussh`d kfhlhd`thbd lktcbe bn sbfvhdm kqu`thbds.

 Q@[, @prhf / L`y ‚  9700\  

0.3=)  ]rhtk irhknfy ̀ ibut M`ussh`d kfhlhd`thbd2  Q@[, @prhf / L`y ‚  9778\  

0.33)  Uck nbffbwhdm ehnnkrkdth`f kqu`thbd hs ̀ v`hf`ifk nbr ` pcyshj`f pckdblkdbd.

( )  

Ibude`ry jbdehthbds ̀ rk, x  < 0 u < 9

 x  < 9  

Nhde tck v`fuk bn tck p`r`lktkr `, iy tck nbffbwhdm lktcbes.

(h) Jbffbj`thbd (hh) Zui ‚  Ebl`hd (hhh) Fk`st Zqu`rk

(hv) M`fkrahd

0.38)  Uck nbffbwhdm ehnnkrkdth`f kqu`thbd hs ̀ v`hf`ifk nbr ` pcyshj`f pckdblkdbd.  

Urh`f nudjthbd hs

 

Ibude`ry jbdehthbds ̀ rk, y (7) < 7  y (07) < 7

Nhde tck v`fuk bn tck p`r`lktkr `, iy tck nbffbwhdm lktcbes.

(h) Jbffbj`thbd (hh) Zui ‚  Ebl`hd (hhh) Fk`st Zqu`rk

(hv) M`fkrahd

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  = 

0.87)  Ehsjuss tck nbffbwhdm lktcbes tb sbfvk tck mhvkd ehnnkrkdth`f kqu`thbd ?

   

whtc tck ibude`ry jbdehthbd y(7) < 7 `de y( C ) < 7

(h)  ^`rh`dt lktcbe (hh) Jbffbj`thbd lktcbe.  Q@[, @prhf / L`y ‚ 

 9707\  

0.80)  @ j`dthfkvkr ik`l bn fkdmtc F hs fb`eke whtc ` pbhdt fb`e `t tck nrkk kde. Nhde tck

l`xhlul eknfkjthbd `de l`xhlul ikdehdm lblkdt ushdm Y`yfkhmc-Yhtz lktcbe

ushdm tck nudjthbd  Mhvkd? KH hs jbdst`dt.

 Q@[, @prhf / L`y ‚  9773\  

0.89) 

@ shlpfy suppbrtke ik`l j`rrhks udhnbrlfy ehstrhiutke fb`e bvkr tck kdthrk sp`d.J`fjuf`tk tck ikdehdm lblkdt `de eknfkjthbd. @ssulk KH hs jbdst`dt `de jblp`rk

tck rksufts whtc btckr sbfuthbd.   Q@[, Dbv / Ekj ‚  9709\  

0.8:)  Ektkrlhdk tck kxprksshbd nbr eknfkjthbd `de ikdehdm lblkdt hd ` shlpfy suppbrtke

 ik`l suiokjtke tb udhnbrlfy ehstrhiutke fb`e bvkr kdthrk sp`d. Nhde tck eknfkjthbd

`de lblkdt `t lhesp`d `de jblp`rk whtc kx`jt sbfuthbd ushdm Y`yfkhmc-Yhtz

lktcbe. [sk    Q@[, Dbv / Ekj ‚ 

 9773\  

0.85)  Jblputk tck v`fuk bn jkdtr`f eknfkjthbd hd tck nhmurk ikfbw iy `ssulhdm  

Uck ik`l hs udhnbrl tcrbumcbut `de j`rrhks ` jkdtr`f pbhdt fb`e W.

 Q@[, Dbv / Ekj ‚  977=, @prhf / L`y  ‚  9778\

0.8;)  Hn ` ehspf`jklkdt nhkfe hs eksjrhike iy

 

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  3 

 

Ektkrlhdk tck ehrkjt str`hds hd x `de y ehrkjthbds `s wkff tck sck`r str`hd `t tck pbhdt

 x < 0, y <7.  Q@[, @prhf / L`y ‚  9700\  

0.8>)  Hd ` sbfhe ibey, tck shx jblpbdkdts bn tck strkss `t ` pbhdt `rk mhvkd iy x< 57

 LW`, y < 97 LW`, z < :7 LW`, yz < -:7 LW`, xz < 0; LW` `de xy < 07 LW`.

Ektkrlhdk tck dbrl`f strkss `t tck pbhdt, bd ` pf`dk nbr wchjc tck dbrl`f hs (d x , d y ,

d z ) < ( ¼, ¼,9

0 )

0.8=)  Hd ` pf`dk str`hd prbifkl, wk c`vk

x < 97,777 psh  y < - 07,777 psh  K < :7 x 07 >  psh,   < 7.:.

Ektkrlhdk tck v`fuk bn tck strkss z.

0.83)  Nbr tck sprhdm systkl scbwd hd nhmurk, j`fjuf`tk tck mfbi`f sthnndkss l`trhx,

ehspf`jklkdts bn dbeks 9 `de :, tck rk`jthbd nbrjks `t dbek 0 `de 5. @fsb j`fjuf`tk

tck nbrjks hd tck sprhdm 9. @ssulk, a 0 < a : < 077 D/l, a 9 < 977 D/l, u0 < u5< 7 `de

 W <;77 D .  Q@[, @prhf / L`y ‚  9707\  

0.88)  [sk tck Y`yfkhmc ‚  Yhtz lktcbe tb nhde tck ehspf`jklkdt bn tck lhepbhdt bn tck rbe

scbwd hd nhmurk.  Q@[, @prhf / L`y ‚  9700\  

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NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  8 

0.077)  Jbdshekr tck ehnnkrkdth`f kqu`thbd

    suiokjt

tb ibude`ry jbdehthbds   Uck nudjthbd`f jbrrkspbdehdm tb tchs

 prbifkl, tb ik kxtrklhzke hs mhvkd iy ∡  

0.070)  Nhde tck sbfuthbd bn tck prbifkl ushdm Y`yfkhmc-Yhtz lktcbe iy jbdshekrhdm ` twb-

tkrl sbfuthbd ̀ s   Q@[, Dbv / Ekj ‚  9778\  

0.079) 

@ i`r bn udhnbrl jrbss skjthbd hs jf`lpke `t bdk kde `de fknt nrkk `t tck btckr kde. Hths suiokjtke tb ` udhnbrl fb`e `xh`f fb`e W `s scbwd hd nhmurk. J`fjuf`tk tck

ehspf`jklkdt `de strkss hd tck i`r ushdm tcrkk tkrls pbfydblh`f nbffbwhdm Yhtz

lktcbe. Jblp`rk tck rksufts whtc kx`jt sbfuthbds.  Q@[, L`y / Oudk  ‚  9700\  

0.07:)  @ shlpfy Zuppbrtke ik`l suiokjtke tb udhnbrlfy ehstrhiutke fb`e bvkr kdthrk sp`d

`de ht hs suiokjtke tb ` pbhdt fb`e `t tck jkdtrk bn tck sp`d. J`fjuf`tk tck eknfkjthbd

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NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  07 

ushdm Y`yfkhmc-Yhtz lktcbe ̀ de jblp`rk whtc kx`jt sbfuthbds.

 Q@[, L`y / Oudk ‚  970:\  

0.075)  @ shlpfy suppbrtke ik`l (sp`d F `de nfkxur`f rhmhehty KH) j`rrhks twb kqu`f

jbdjkdtr`tke fb`es `t k`jc bn tck qu`rtkr sp`d pbhdts. [shdm Y`fkhmc  ‚  Yhtz lktcbe

ektkrlhdk tck eknfkjthbds udekr tck twb fb`es `de tck twb kde sfbpks. Q@[, @prhf / L`y ‚  9778\  

0.07;)  @d`fyzk ` shlpfy suppbrtke ik`l suiokjtke tb ` udhnbrlfy ehstrhiutke fb`e

tcrbumcbut ushdm Y`yfkhmc Yhtz lktcbe. @ebpt bdk p`r`lktkr trhmbdblktrhj

nudjthbd. Kv`fu`tk tck l`xhlul eknfkjthbd `de ikdehdm lblkdt `de jblp`rk whtc

kx`jt sbfuthbd.  Q@[, Dbv / Ekj ‚  9707\  

0.07>) 

Zbfvk nbr tck ehspf`jklkdt nhkfe nbr ` shlpfy suppbrtke ik`l, suiokjtke tb `udhnbrlfy ehstrhiutke fb`e ushdm Y`yfkhmc ‚  Yhtz lktcbe.  Q@[, Dbv / Ekj ‚  970:\  

0.07=)  [sk tck Y`yfkhmc  ‚  Yhtz lktcbe tb nhde tck ehspf`jklkdt nhkfe u(x) bn tck rbe `s

scbwd ikfbw. Kfklkdt 0 hs l`ek bn `fulhdul `de kfklkdt 9 hs l`ek bn stkkf. Uck

 prbpkrthks `rk

K`f  < =7 MW` @0 < 877 ll9  F0 < 977 ll 

Kst  < 977 MW` @9 < 0977 ll9  F9 < :77 ll

Fb`e < W < 07,777 D . @ssulk ` phkjkwhsk fhdk`r ehspf`jklkdt.

Nhkfe u < `0 + `9 x nbr 7   x  977 ll, `de u < `: + `5 x nbr 977   x  ;77 ll. 

0.073)  @ nhxke ik`l fkdmtc bn 9F l j`rrhks ` udhnbrlfy ehstrhiutke fb`e bn ` w(hd D / l)

wchjc rud bvkr ` fkdmtc bn –F‘ l nrbl tck nhxke kde, `s scbwd hd Nhmurk. J`fjuf`tk

tck rbt`thbd `t pbhdt I ushdm NK@.  Q@[, Dbv / Ekj ‚  9700\  

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NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  00 

0.078)  @d`fyzk tck ik`l scbwd hd nhmurk ushdm nhdhtk kfklkdt tkjcdhquk. Ektkrlhdk tck

rbt`thbds `t tck suppbrts. Mhvk K < 977MW` `de H < 5 * 07>ll5 

 Q@[, Dbv / Ekj ‚  970:\  

0.007)  @ rbe nhxke `t hts kdes hs suiokjtke tb ` v`ryhdm ibey nbrjk `s scbwd hd Nhmurk. [sk

tck Y`yfkhmc-Yhtz lktcbe whtc `d `ssulke ehspf`jklkdt nhkfe

 tb nhde tck ehspf`jklkdt u(x) `de strkss ϊ(x). Wfbt tck v`rh`thbd bn tck

strkss hd tck rbe.  Q@[, Dbv / Ekj ‚  9709\  

0.000)  @ udhnbrl rbe suiokjtke tb ` udhnbrl `xh`f fb`e hs hffustr`tke hd Nhmurk. Uck

eknbrl`thbd bn tck i`r hs mbvkrdke iy tck ehnnkrkdth`f kqu`thbd mhvkd ikfbw.

Ektkrlhdk tck ehspf`jklkdt ushdm wkhmctke rksheu`f lktcbe.

 Q@[, @prhf / L`y ‚  9700\  

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NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  09 

0.009)  @ stkkf rbe hs `tt`jcke tb rhmhe w`ffs `t k`jc kde `de hs suiokjtke tb ` ehstrhiutke

fb`e U( x) `s scbwd ikfbw.

`) ]rhtk tck kxprksshbd nbr pbtkdth`f kdkrmy.

 i) Ektkrlhdk tck ehspf`jklkdt u(x)  ushdm tck Y`yfkhmc  ‚   Yhtz lktcbe.

@ssulk ̀ ehspf`jklkdt nhkfe u(x)  < `7 + `0 x + `9 x9.

0.00:)  Ekrhvk tck strkss ‚  str`hd rkf`thbd `de str`hd  ‚  ehspf`jklkdt rkf`thbd nbr `d kfklkdt

hd sp`jk.

0.005)  Ekrhvk tck kqu`thbd bn kquhfhirhul hd j`sk bn ` tcrkk ehlkdshbd`f strkss systkl.

 Q@[, Dbv / Ekj ‚  9773\  

0.00;)  ]c`t hs jbdsthtuthvk rkf`thbdschp2 Kxprkss tck jbdsthtuthvk rkf`thbds nbr ` fhdk`r

kf`sthj hsbtrbphj l`tkrh`f hdjfuehdm hdhth`f strkss ̀ de str`hd.  Q@[, Dbv / Ekj ‚  9778\  

0.00>)  Mhvk ` ekt`hfke dbtk bd tck nbffbwhdm?

(`)  Y`yfkhmc Yhtz lktcbe (i) M`fkrahd lktcbe

(j)  Fk`st squ`rk lktcbe `de (e) Jbffbj`thbd lktcbe

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NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  0: 

0.00=)  Nhde tck `pprbxhl`tk eknfkjthbd bn ` shlpfy suppbrtke ik`l udekr ` udhnbrlfy

ehstrhiutke fb`e –W– tcrbumcbut hts sp`d. [shdm M`fkrahd `de Fk`st squ`rk rksheu`f

lktcbe.  Q@[, L`y / Oudk  ‚  9700\  

0.003)  Zbfvk tck ehnnkrkdth`f kqu`thbd nbr ` pcyshj`f prbifkl kxprksske `s  whtc ibude`ry jbdehthbds `s y (7) < 7 `de y (07) < 7 ushdm

(h)  Wbhdt jbffbj`thbd lktcbe

(hh)  Zui ebl`hd jbffbj`thbd lktcbe

(hhh)  Fk`st squ`rks lktcbe ̀ de

(hv)  M`fkrahd lktcbe.  Q@[, L`y / Oudk ‚  970:\  

0.008)  Zbfvk tck ehnnkrkdth`f kqu`thbd nbr ` pcyshj`f prbifkl kxprksske `s  whtc ibude`ry jbdehthbds `s y (7) < 7 `de y (07) < 7 ushdm tck

tr`hf nudjthbd   Nhde tck v`fuk bn tck p`r`lktkrs `0  iy tck

nbffbwhdm lktcbes.

(h)  Wbhdt jbffbj`thbd lktcbe

(hh)  Zui ebl`hd jbffbj`thbd lktcbe

(hhh)  Fk`st squ`rks lktcbe ̀ de

(hv)  M`fkrahd lktcbe.  Q@[, Dbv / Ekj ‚  9700\  

0.097)  Zbfvk tck nbffbwhdm kqu`thbd ushdm ` twb ‚  p`r`lktkr trh`f sbfuthbd iy tck

(`)  Jbffbj`thbd lktcbe      

(i)  M`fkrahd lktcbe.

Uckd, jblp`rk tck twb sbfuthbds whtc tck kx`jt sbfuthbd

 y (7) < 0

0.090)  Ektkrlhdk tck M`fkrahd ̀ pprbxhl`thbd sbfuthbd bn tck ehnnkrkdth`f kqu`thbd

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NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  05 

  0.099)  Zbfvk tck nbffbwhdm ehnnkrkdth`f kqu`thbd ushdm M`fkrahd‘s lktcbe.

  Q@[, @prhf / L`y ‚  9700\  

0.09:)  @ pcyshj`f pckdblkdbd hs mbvkrdke iy tck ehnnkrkdth`f kqu`thbd

   Uck ibude`ry jbdehthbds `rk mhvkd iy

. Iy t`ahdm twb-tkrl trh`f sbfuthbd `s    

  whtc,

      nhde tck sbfuthbd bn

tck prbifkl ushdm tck M`fkrahd lktcbe.  Q@[, Dbv / Ekj ‚  9778\

0.095)  Ektkrlhdk tck twb p`r`lktkr sbfuthbd bn tck nbffbwhdm ushdm M`fkrahd lktcbe.    Q@[, Dbv / Ekj ‚  9709\  

0.09;)  Mhvk ` bdk  ‚   p`r`lktkr M`fkrahd sbfuthbd bn tck nbffbwhdm kqu`thbd, nbr tck twb

ebl`hd‘s scbwd ikfbw. .09

9

9

9

 

 

 

 

 y

u

 x

0.09>)  Eksjrhik tck M`ussh`d kfhlhd`thbd lktcbe bn sbfvhdm kqu`thbds.

 Q@[, @prhf / L`y ‚  9700\  

0.09=)  Kxpf`hd tck M`ussh`d kfhlhd`thbd lktcbe nbr tck sbfvhdm bn shluft`dkbus fhdk`r

`fmkir`hj kqu`thbds whtc ̀ d kx`lpfk.  Q@[, @prhf / L`y ‚  9773\  

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NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  0; 

0.093)  Zbfvk tck nbffbwhdm systkl bn kqu`thbds ushdm M`uss kfhlhd`thbd lktcbe.

 Q@[, Dbv / Ekj ‚  9707\  

 x0  ‚  x9 + x: < 0

-:x0 + 9x9  ‚  :x: < ->

9x0  ‚  ;x9 + 5x: < ;

0.098)  Zbfvk tck nbffbwhdm systkl bn kqu`thbds iy M`uss Kfhlhd`thbd lktcbe.

9x0  ‚  9x9  ‚  x5 < 0

9x9 + x: + 9x5 < 9

 x0  ‚  9x9 + :x:  ‚  9x5 < :  Q@[, L`y / Oudk ‚  9709\  

 x9  + 9x

: + 9x

5 < 5

0.0:7)  Zbfvk tck nbffbwhdm kqu`thbds iy M`uss kfhlhd`thbd lktcbe.

93r 0 + >r 9 < 0

>r 0 + 95r 9 + >r : < 7

>r 9 + 93r : + 3r 5 < -0

3r : + 0>r 5 < 07  Q@[, Dbv / Ekj ‚  9707, 9709\  

0.0:0)  [sk tck M`ussh`d kfhlhd`thbd lktcbe tb sbfvk tck nbffbwhdm shluft`dkbus

kqu`thbds?

5x0 + 9x9  ‚  9x:  ‚  3x5 < 5

 x0 + 9x9 + x: < 9

7.;x0  ‚  x9 + 5x: + 5x5 < 07

 ‚ 5x0  ‚  9x9  ‚  x5 < 7  Q@[, @prhf / L`y ‚ 

 9778\  

0.0:9)  Zbfvk tck nbffbwhdm systkl bn kqu`thbds ushdm M`uss kfhlhd`thbd lktcbe.

 x0 + :x9 + 9x: < 0:

 ‚  9x0 + x9  ‚  x: < ‚ :

-  ;x0 + x9 + :x: < >  Q@[, Dbv / Ekj ‚  9778\  

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NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  0> 

[DHU  ‚  HH  ‚  BDK EHLKDZHBD@F NHDHUK KFKLKDU @D@FXZHZ

W@YU  ‚  @

9.0)  ]rhtk ` dbtk bd dbek dulikrhdm sjcklk.

9.9)  ]c`t eb ybu lk`d iy dbek `de kfklkdt2

9.:)  ]c`t `rk tck typks bn prbifkls trk`tke `s bdk ehlkdshbd`f prbifkl2

 Q@[, L`y / Oudk ‚  970:\  

9.5)  Chmcfhmct `t fk`st twb rufks tb muhek tck pf`jklkdt bn tck dbeks wckd bit`hdhdm

`pprbxhl`tk sbfuthbd tb ̀ ehnnkrkdth`f kqu`thbd.  Q@[, @prhf / L`y ‚  9707\  

9.;)  Eknhdk sc`pk nudjthbd.  Q@[, Dbv / Ekj ‚  977=, @prhf / L`y  ‚  9778\  

9.>)  ]c`t hs ` sc`pk nudjthbd2  Q@[, Dbv / Ekj ‚  9778\  

9.=)  Ehnnkrkdth`tk sc`pk nudjthbd nrbl ehspf`jklkdt lbekf.

9.3)  Er`w tck sc`pk nudjthbd bn ` twb dbeke fhdk kfklkdt.  Q@[, @prhf / L`y ‚  9778\  

9.8)  Er`w tck sc`pk nudjthbd bn ` twb dbeke fhdk kfklkdt whtc bdk ekmrkk bn nrkkebl `t

k`jc dbek.  Q@[, Dbv / Ekj ‚  9707\  

9.07)  Er`w tck sc`pk nudjthbd nbr bdk ehlkdshbd`f fhdk kfklkdt whtc tcrkk dbeks.

 Q@[, @prhf / L`y ‚  9778\  

9.00)  Zt`tk tck prbpkrthks bn sthnndkss l`trhx.  Q@[, Dbv / Ekj ‚  9778, 9707, 9700\  

9.09)  Fhst but tck sthnndkss l`trhx prbpkrthks.  Q@[, L`y / Oudk ‚  9709\  

9.0:)  Zt`tk tck jc`r`jtkrhsthjs bn sc`pk nudjthbd.  Q@[, L`y / Oudk  ‚  9700\  

9.05)  Fhst tck jc`r`jtkrhsthjs bn sc`pk nudjthbds.  Q@[, @prhf / L`y ‚  9707\  

9.0;)  ]ckd ebks tck sthnndkss l`trhx bn ` strujturk ikjblk shdmuf`r2

 Q@[, Dbv / Ekj ‚ 

 9709\  

9.0>)  Zt`tk tck shmdhnhj`djk bn sc`pk nudjthbd.

9.0=)  ]rhtk tck kfklkdt sthnndkss l`trhx nbr ` twb dbeke fhdk`r kfklkdt suiokjtke tb `xh`f

fb`ehdm.

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NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  0= 

9.03)  ]rhtk tck sthnndkss l`trhx nbr tck shlpfk ik`l kfklkdt mhvkd ikfbw.

 Q@[, Dbv / Ekj ‚  9773\  

9.08)  ]c`t `rk tck prbpkrthks bn mfbi`f sthnndkss l`trhx2  Q@[, @prhf / L`y ‚  9700\  

9.97)  ]rhtk tck prbpkrthks bn Mfbi`f Zthnndkss L`trhx bn ` bdk ehlkdshbd`f kfklkdt.

 Q@[, L`y / Oudk ‚  9709\  

9.90)  Ehnnkrkdth`tk mfbi`f sthnndkss l`trhx nrbl kfklkdt`f sthnndkss l`trhx.

9.99)  ]c`t eb ybu lk`d iy i`deke l`trhx2

9.9:) 

Cbw whff ybu nhde tck whetc bn ` i`de2

9.95)  Cbw eb ybu j`fjuf`tk tck shzk bn tck mfbi`f sthnndkss l`trhx2

9.9;)  Fhst tck prbpkrthks bn tck mfbi`f sthnndkss l`trhx.  Q@[, @prhf / L`y ‚  9707\  

9.9>)  ]c`t hs tck knnkjt bn dbek dulikrhdm bd `ssklifke sthnndkss l`trhx2

 Q@[, Dbv / Ekj ‚  970:\  

9.9=)  Mhvk ` irhkn dbtk bd tck nbffbwhdm

(`) kfhlhd`thbd ̀ pprb`jc (i) pkd`fty ̀ pprb`jc.

9.93)   D`lk tck n`jtbrs wchjc `nnkjt tck dulikr kfklkdt hd tck mhvkd ebl`hd.

9.98)  Zt`tk tck rkquhrklkdts tb ik nufnhffke iy tck `pprbxhl`tk sbfuthbd nbr hts

jbdvkrmkdjk tbw`res tck ̀ jtu`f sbfuthbd.

9.:7)  ]c`t eb ybu lk`d iy jbdthduhty wk`akdhdm2

9.:0)  Jblp`rk tck fhdk`r pbfydblh`f `pprbxhl`thbd `de qu`er`thj pbfydblh`f

`pprbxhl`thbd.

9.:9)  ]cy pbfydblh`fs `rk mkdkr`ffy uske `s sc`pk nudjthbd2  Q@[, Dbv / Ekj ‚  9700\  

9.::)  ]cy `rk pbfydblh`f tkrls prknkrrke nbr sc`pk nudjthbds hd nhdhtk kfklkdt lktcbe2

 Q@[, @prhf / L`y ‚  9700\  

9.:5)  ]c`t eb ybu lk`d iy krrbr hd NK@ sbfuthbd2

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  03 

9.:;)  ]c`t `rk tck typks bn fb`e `jthdm bd tck strujturk2

9.:>)  Eknhdk tr`jthbd nbrjk (U).

9.:=)  Zt`tk tck `ssulpthbds `rk l`ek wchfk nhdehdm tck nbrjks hd ` truss.

 Q@[, Dbv / Ekj ‚  9700\  

9.:3)  Cbw `rk tckrl`f fb`es hdput hd nhdhtk kfklkdt `d`fyshs2

 Q@[, Dbv / Ekj ‚  977=, @prhf / L`y  ‚  9778\  

9.:8)  ]c`t hs `d hdtkrpbf`thbd nudjthbd2  Q@[, L`y / Oudk ‚  9709\  

9.57)  ]cy `rk pbfydblh`f typks bn hdtkrpbf`thbd nudjthbds prknkrrke bvkr trhmbdblktrhj

nudjthbds2  Q@[, Dbv / Ekj ‚  977=, @prhf / L`y  ‚  9778\  

9.50)  ]c`t hs `d kquhv`fkdt dbe`f nbrjk2  Q@[, @prhf / L`y ‚  9773\  

9.59)  ]c`t `rk j`ffke chmckr brekr kfklkdts2

 Q@[, @prhf / L`y ‚  9773, Dbv / Ekj ‚  9707, 9700\  

9.5:)  ]c`t hs chmckr brekr kfklkdt2  Q@[, Dbv / Ekj ‚  9700\  

9.55)  ]c`t eb ybu lk`d iy chmckr brekr kfklkdts2  Q@[, Dbv / Ekj ‚  9773\  

9.5;)  ]cy chmckr brekr kfklkdts `rk rkquhrke nbr NK `d`fyshs2  Q@[, Dbv / Ekj ‚  9709\  

9.5>)  ]c`t `rk chmckr brekr kfklkdts `de wcy `rk tcky prknkrrke2

 Q@[, @prhf / L`y ‚  9700\  

9.5=)  ]c`t `rk tck jc`r`jtkrhsthjs bn sc`pk nudjthbds2

9.53)  Wfbt tck v`rh`thbds bn sc`pk nudjthbd nbr 0 ‚  E ik`l kfklkdt.

 Q@[, Dbv / Ekj ‚  9707\  

9.58)  Hffustr`tk kfklkdt jbddkjthvhty hdnbrl`thbd jbdshekrhdm ik`l kfklkdts.

 Q@[, Dbv / Ekj ‚ 

 970:\  

9.;7)  ]ckd eb wk rksbrt tb 0 E qu`er`thj sp`r kfklkdts2  Q@[, @prhf / L`y ‚  9700\  

9.;0)  Bit`hd `dy bdk sc`pk nudjthbd nbr ` qu`er`thj juihj sp`r kfklkdt.

 Q@[, Dbv / Ekj ‚  970:\  

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  08 

9.;9)  Lkdthbd twb `ev`dt`mks bn qu`er`thj sp`r kfklkdt bvkr fhdk`r sp`r kfklkdt.

 Q@[, Dbv / Ekj ‚  970:\  

9.;:)  Mhvk ` irhkn dbtk bd tck sburjks bn krrbr hd NK@.

9.;5)  Zt`tk tck shmdhnhj`djk bn pbst prbjksshdm tck sbfuthbd hd NK@.

9.;;)  ]c`t eb ybu adbw `ibut r`eh`ffy syllktrhj prbifkl2

9.;>)  ]rhtk tck ibude`ry jbdehthbd nbr ` j`dthfkvkr ik`l suiokjtke tb pbhdt fb`e `t hts

nrkk kde.

9.;=)  Nbr ` bdk ehlkdshbd`f nhd prbifkl, wc`t `rk `ff tck ibude`ry jbdehthbds tc`t j`d ik

spkjhnhke `t tck nrkk kde2

9.;3)  Ektkrlhdk tck fb`e vkjtbr nbr tck ik`l kfklkdt scbwd hd Nhmurk

 Q@[, Dbv / Ekj ‚  9709\  

9.;8)  ]rhtk tck kfklkdt sthnndkss l`trhx bn ` truss kfklkdt.  Q@[, L`y / Oudk ‚  9709\  

9.>7)  Zaktjc ̀ typhj`f truss kfklkdt scbwhdm fbj`f mfbi`f tr`dsnbrl`thbd.

 Q@[, @prhf / L`y ‚  9700\  

9.>0)  Ehnnkrkdth`tk mfbi`f ̀ de fbj`f jbbrehd`tks.  Q@[, L`y / Oudk ‚  970:\  

9.>9)  Zt`tk tck ehnnkrkdjks iktwkkd ` i`r kfklkdt `de ` truss kfklkdt.

W@YU  ‚  I

9.>:)  ]c`t `rk tck ehnnkrkdt typks bn kfklkdts2 Kxpf`hd tck shmdhnhj`djk bn k`jc. Q@[, Dbv / Ekj ‚  9707\  

9.>5)  Ekrhvk `de saktjc tck qu`er`thj sc`pk nudjthbd nbr tck i`r kfklkdt.

 Q@[, L`y / Oudk  ‚  9700\  

9.>;)  Ekrhvk tck sc`pk nudjthbd bn ` qu`er`thj 0 ‚  E kfklkdt.  Q@[, Dbv / Ekj ‚  9700\  

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  97 

9.>>)  Ekrhvk tck sc`pk nudjthbds nbr bdk ehlkdshbd`f fhdk`r kfklkdt ushdm ehrkjt lktcbe.

 Q@[, L`y / Oudk ‚  970:\  

9.>=)  Ektkrlhdk tck sc`pk nudjthbd `de kfklkdt l`trhjks nbr qu`er`thj i`r kfklkdt.

 Q@[, L`y / Oudk ‚  9709\  

9.>3)  Ekrhvk tck sthnndkss l`trhx `de nhdhtk kfklkdt kqu`thbd nbr bdk ehlkdshbd`f i`r.

 Q@[, Dbv / Ekj ‚  9700\  

9.>8)  Ekrhvk tck sthnndkss l`trhx `de ibey nbrjk vkjtbr nbr ` qu`er`thj sp`r kfklkdt.

 Q@[, Dbv / Ekj ‚  970:\  

9.=7)  Bit`hd `d kxprksshbd nbr tck sc`pk nudjthbd bn ` fhdk`r i`r kfklkdt.

 Q@[, @prhf / L`y ‚  9700\  

9.=0)  Ekrhvk sc`pk nudjthbds `de sthnndkss l`trhx nbr ` 9E rkjt`dmuf`r kfklkdt.

 Q@[, Dbv / Ekj ‚  9709\  

9.=9)  Jbdshekr tck rbe (` rbibt `rl) `s scbwd ikfbw, wchjc hs rbt`thdm `t jbdst`dt

`dmuf`r vkfbjhty  < :7 r`e/skj. Ektkrlhdk tck `xh`f strkss ehstrhiuthbd hd tck rbe,

ushdm twb qu`er`thj kfklkdts. Jbdshekr bdfy tck jkdtrhnum`f nbrjk. Hmdbrk ikdehdm

bn tck rbe.

9.=:)  @ fhda bn 9l, phd ‚  obhdtke `t bdk kde, hs rbt`thdm `t `dmuf`r vkfbjhty ; r`e / skj. tck

jrbss  ‚   skjthbd`f `rk` bn fhda hs 9 * 07 -:  l9. Ektkrlhdk tck dbe`f ehspf`jklkdts

ushdm twb fhdk`r sp`r kfklkdts. U`ak K < 977MW` `de π < =3;7 am/l:.

 Q@[, Dbv / Ekj ‚  970:\  

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  90 

9.=5)  @ stkkf rbe bn fkdmtc 0l hs suiokjtke tb `d `xh`f fb`e bn ; aD `s scbwd hd nhmurk.

@rk` bn jrbss skjthbd bn tck rbe hs 9;7 ll9. [shdm 0 ‚  E kfklkdt kqu`thbd sbfvk nbr

tck eknfkjthbd bn tck i`r, K < 9*07; D/ll9. [sk nbur kfklkdts.

 Q@[, Dbv / Ekj ‚  9707\  

9.=;)  @ jbfuld bn fkdmtc ;77ll hs fb`eke `xh`ffy `s scbwd hd nhmurk. @d`fyzk tck

jbfuld `de kv`fu`tk tck strkss `de str`hd `t s`fhkdt pbhdts. Uck Xbudm‘s lbeufus

j`d ik t`akd `s K. U`ak @0 < >9.;ll9 `de @9 < 09;ll9 

 Q@[, @prhf / L`y ‚  9778\  

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NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  99 

9.=>)  Jbdshekr ` i`r `s scbwd hd nhmurk. Xbudm‘s Lbeufus K < 9*07; D/ll9. @0 < 9 jl9,

@9 < 0 jl9 `de nbrjk bn 077 D. Ektkrlhdk tck dbe`f ehspf`jklkdt.

 Q@[, Dbv / Ekj ‚  9707\  

9.==)  Jbdshekr tck i`r scbwd hd Nhmurk @xh`f nbrjk W < :7 aD hs `ppfhke `s scbwd.

Ektkrlhdk tck dbe`f ehspf`jklkdt, strkssks hd k`jc kfklkdt `de rk`jthbd nbrjks

 Q@[, L`y / Oudk ‚  9709\  

9.=3)  Jbdshekr tck i`r `s scbwd hd nhmurk. @xh`f nbrjk W0  < 97 aD `de W9  < 0; aD hs

`ppfhke `s scbwd hd nhmurk. Ektkrlhdk tck dbe`f ehspf`jklkdts, strkssks hd k`jc

kfklkdt ̀ de rk`jthbd nbrjks.  Q@[, @prhf / L`y ‚  9700\  

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  9: 

9.=8)  Nhde tck dbe`f ehspf`jklkdt `de kfklkdt`f strkssks nbr tck i`r scbwd hd Nhmurk.

 Q@[, @prhf / L`y ‚ 

 9700\  

9.37)  @d `xh`f fb`e W < :77 x 07: D hs `ppfhke `t 977J tb tck rbe `s scbwd ikfbw. Uck

tklpkr`turk hs tckd r`hske tb >77J

`) @ssklifk tck sthnndkss (A) `de fb`e (N) l`trhjks.

 i) Ektkrlhdk tck dbe`f ehspf`jklkdts `de kfklkdt strkssks.

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NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  95 

9.30)  Uck stkppke i`r scbwd hd nhm hs suiokjtke tb `d hdjrk`sk hd tklpkr`turk, U<37b J .

Ektkrlhdk tck ehspf`jklkdts, kfklkdt strkssks ̀ de suppbrt rk`jthbds.

 Q@[, Dbv / Ekj ‚  9778\  

9.39)  @xh`f fb`e bn ;77D hs `ppfhke tb ` stkppke sc`nt, `t tck hdtkrn`jk bn twb i`rs. Uck

kdes `rk nhxke. Bit`hd tck dbe`f ehspf`jklkdts `de strkssks wckd tck kfklkdt hs

suiokjtke tb `ff hd tklpkr`turk bn 077˟J. U`ak K0 < =7*07: D/ll9, K9 < 977*07: 

 D/ll9, @0 < 877ll9, @9 < 0977ll9, ΰ0 < 9:*07-> / ˟J, ΰ9 < 00.=*07-> / ˟J, F0 <

977ll, F9 < :77ll.  Q@[, Dbv / Ekj ‚  9700\  

9.3:)  Jbdshekr ` i`r `s scbwd ikfbw c`vhdm ` jrbss skjthbd`f `rk` @k  < 0.9 hd9  `de

Xbudm‘s lbeufus K < :7 x 07>  psh Hn q0 < 7.79 hd `de q9 < 7.79; hd, ektkrlhdk tck

nbffbwhdm?

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  9; 

`) Uck ehspf`jklkdt ̀ t tck pbhdt W i) Uck str`hd  `de strkss  

j) Uck kfklkdt sthnndkss l`trhx `de e) Uck str`hd kdkrmy hd tck kfklkdt.

@ nhdhtk kfklkdt sbfuthbd ushdm bdk  ‚  ehlkdshbd`f, twb  ‚  dbeke kfklkdts c`s ikkd

bit`hdke nbr ` rbe `s scbwd ikfbw.

Ehspf`jklkdt `rk `s nbffbwsU 

llP 7.0\-7,7.>,Q-7.9, , K < 0 D/ll9, `rk` bn k`jc

kfklkdt < 0 ll9 , F0-9 < ;7 ll, F9-: < 37 ll, F:-5 < 077 ll. 

h) @jjbrehdm tb tck nhdhtk kfklkdt tckbry, pfbt tck ehspf`jklkdt u(x) vkrsus x.

hh) @jjbrehdm tb tck nhdhtk kfklkdt tckbry, pfbt tck str`hd ( x) vkrsus x.

hhh) Ektkrlhdk tck I l`trhx nbr kfklkdt 9-:.

hv) Ektkrlhdk tck str h̀d kdkrmy hd tck kfklkdt 0-9 ushdm .9

0aqq[    U 

 

9.35)  Jbdshekr tck i`r, fb`eke `s scbwd ikfbw. Ektkrlhdk tck dbe`f ehspf`jklkdts,

kfklkdt strkssks `de suppbrt rk`jthbds. Zbfvk tchs prbifkl iy `ebpthdm kfhlhd`thbd

lktcbe nbr c`defhdm ibude`ry jbdehthbds. (v`fuk bn K < 977 x 078  D/l9).

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  9> 

9.3;)  Hd tck nhmurk scbwd ikfbw fb`e W < >7aD hs `ppfhke. Ektkrlhdk tck ehspf`jklkdt

nhkfe, strkss `de suppbrt rk`jthbds hd tck ibey. U`ak K < 97 aD/ll9 

 Q@[, L`y / Oudk  ‚  9700\  

9.3>)  Jbdshekr tck i`r `s scbwd ikfbw. Ektkrlhdk tck dbe`f ehspf`jklkdts, kfklkdt

strkssks `de suppbrt rk`jthbds. (K < 977 x 078  D/l9)

9.3=)  @d `xh`f fb`e W < :3;  AD   hs `ppfhke tb tck jblpbshtk ifbja `s scbwd ikfbw.

Ektkrlhdk tck strkss hd k`jc l`tkrh`f.

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  9= 

9.33)  Nbr ` vkrthj`f rbe `s scbwd ikfbw, nhde tck eknfkjthbd `t @ `de tck strkss

ehstrhiuthbd. K < 077 LW` `de wkhmct pkr udht vbfulk < 7.7> D/jl:. Jbllkdt bd

tck strkss ehstrhiuthbd.

9.38)  Jbdshekr ` twb-i`r suppbrtke iy ` sprhdm scbwd hd nhmurk. Ibtc i`rs c`vk  K  < 907

MW` `de @<;.7 x07-5 l9. I`r bdk c`s ` fkdmtc bn ;l `de i`r twb c`s ` fkdmtc bn 07

l. Uck sprhdm sthnndkss hs a< 9 aD/l. Ektkrlhdk tck cbrhzbdt`f `de vkrthj`f

ehspf`jklkdts `t tck obhdt 0 `de strkssks hd k`jc i`r.  Q@[, Dbv / Ekj ‚ 

 9778\  

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  93 

9.87)  K`jc bn tck tcrkk i`rs bn tck phd ‚  obhdtke nr`lk scbwd hd nhmurk c`s ` jrbss

skjthbd`f `rk` bn 0777ll9 whtc K < 977MW`. Zbfvk nbr ehspf`jklkdts.

 Q@[, Dbv / Ekj ‚ 

 970:\  

9.80)  Nhde tck eknfkjthbd `t tck nrkk kde udekr hts bwd wkhmct, ushdm ehvhshbds bn

`) 0 kfklkdt i) 9 kfklkdts j) 5 kfklkdts e) 3 kfklkdts `de k) 0> kfklkdts

Uckd pfbt tck dulikr bn kfklkdts vkrsus eknfkjthbd.

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NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  98 

9.89)  Nbr tck ehsjrkthz`thbd bn ik`l kfklkdts `s scbwd ikfbw, dulikr tck dbeks sb `s tb

lhdhlhzk tck i`dewhetc bn tck `ssklifke sthnndkss l`trhx (A)

9.8:)  Uck kfklkdts bn ` rbw br jbfuld bn tck sthnndkss l`trhx bn ` i`r kfklkdt sul up tb

zkrb, iut dbt sb nbr ` ik`l kfklkdt. Kxpf`hd wcy tchs hs sb.

9.85)  Nbr tck ik`l prbifkl scbwd ikfbw, ektkrlhdk tck thp eknfkjthbd `de tck sfbpk `t

tck rbffkr suppbrt.

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NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  :7 

9.8;)  Nbr tck ik`l `de fb`ehdm `s scbwd hd nhmurk. Ektkrlhdk tck sfbpks `t tck twb kdes

bn tck ehstrhiutke fb`e `de tck vkrthj`f eknfkjthbd `t tck lhe-pbhdt bn tck ehstrhiutke

fb`e. U`ak K < 977MW` `de H < 5*07> ll5   Q@[, L`y / Oudk  ‚  9700\  

9.8>)  Nhde tck eknfkjthbd `de sfbpk nbr tck nbffbwhdm ik`l skjthbd `t wchjc pbhdt fb`e hs

`ppfhke.

9.8=)  Zbfvk tck nbffbwhdm ik`l `s scbwd ikfbw, jf`lpke `t bdk kde `de sprhdm suppbrt

`t btckr kde. @ fhdk`rfy v`ryhdm tr`dsvkrsk fb`e bn l`xhlul l`mdhtuek bn 077

 D/jl `ppfhke bvkr tck sp`d bn 5 jl tb 07 jl. U`ak KH < 9 x 07=  D/jl9,9

07

 KH 

 A .

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NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  :0 

9.83)  Bit`hd tck eknfkjthbd `t tck lhepbhdt bn tck ik`l scbwd ikfbw `de ektkrlhdk tck

rk`jthbd.

9.88)  Uck shlpfy suppbrtke ik`l scbwd hd nhmurk hs suiokjtke tb ` udhnbrl tr`dsvkrsk

fb`e, `s scbwd. [shdm twb kqu`f-fkdmtc kfklkdts `de wbra-kquhv`fkdt dbe`f fb`es

bit`hd ` nhdhtk kfklkdt sbfuthbd nbr tck eknfkjthbd `t lhe-sp`d `de jblp`rk ht tb tck

sbfuthbd mhvkd iy kfklkdt`ry ik`l tckbry.  Q@[, @prhf / L`y - 9707\  

9.077)  Ektkrlhdk tck ehspf`jklkdts `de sfbpks `t tck dbeks nbr tck ik`l scbwd hd nhmurk.

U`ak a<977aD / l, K<=7MW` `de H<9x07-5l5.  Q@[, Dbv / Ekj ‚  9709\  

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NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  :9 

9.070)  Ektkrlhdk tck dbe`f ehspf`jklkdts `de sfbpks nbr tck ik`l scbwd hd Nhmurk. Nhde

tck lblkdt `t tck lhepbhdt bn kfklkdt 0.  Q@[, Dbv / Ekj ‚ 

 9709\  

9.079)  Ektkrlhdk tck ehspf`jklkdt bn dbek 0 `de tck strkss hd kfklkdt :, nbr tck tcrkk-i`r

truss `s scbwd ikfbw. U`ak @ < 9;7 ll9, K < 977 MW`  nbr `ff kfklkdts.

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NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  :: 

9.07:)  Ektkrlhdk tck nbrjk hd tck lklikrs bn tck truss `s scbwd hd nhmurk.

U`ak K < 977 MW`  Q@[, L`y / Oudk ‚  9709\  

9.075) 

Ektkrlhdk tck dbe`f ehspf`jklkdts `de tck kfklkdt strkssks nbr tck twb ehlkdshbd`ffb`eke pf`tk `s scbwd hd nhmurk. @ssulk pf`dk strkss jbdehthbd. Ibey nbrjk l`y ik

dkmfkjtke hd jblp`rhsbd tb tck kxtkrd`f nbrjks. U`ak K < 907MW`, » < 7.9;,

Uchjadkss t < 07ll.  Q@[, L`y / Oudk  ‚  9700\  

9.07;)  Uck fb`ehdm `de btckr p`r`lktkrs nbr ` twb i`r truss kfklkdt hs scbwd hd nhmurk

Ektkrlhdk  Q@[, L`y / Oudk ‚  970:\  

(h)  Uck kfklkdt sthnndkss l`trhx nbr k`jc kfklkdt

(hh)  Mfbi`f sthnndkss l`trhx

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NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  :5 

(hhh)   Dbe`f ehspf`jklkdts

(hv)  Yk`jthbd nbrjks

(v)  Uck strkssks hdeujke hd tck kfklkdts. @ssulk K < 977 MW`.

9.07>)  J`fjuf`tk dbe`f ehspf`jklkdt `de kfklkdt`f strkssks nbr tck truss scbwd hd Nhmurk.

K< =7Mp`.jrbss-skjthbd`f ̀ rk` @ < 9jl9 nbr `ff truss lklikrs.

 Q@[, @prhf / L`y ‚  9700\  

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NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  :; 

9.07=)  Nhde tck cbrhzbdt`f `de vkrthj`f ehspf`jklkdts bn dbek 0 nbr tck truss scbwd ikfbw.

U`ak @ < :77 ll9, K < 9 x07;  D/ll9 nbr k`jc kfklkdt.

9.073)  K`jc bn tck nhvk i`rs bn tck phd obhdtke truss scbwd hd nhmurk ikfbw c`s ` jrbss

skjthbd`f `rk` 97 sq. jl. `de K < 977 MW`. 

(h)  Nbrl tck kqu`thbd N < A[ wckrk A hs tck `ssklifke sthnndkss l`trhx bn tck

strujturk.

(hh) 

Nhde tck nbrjks hd `ff tck nhvk lklikrs.  Q@[, @prhf / L`y ‚ 

 9773\  

9.078)  @d`fyzk tck truss scbwd hd nhmurk `de kv`fu`tk tck strkss rksuft`dts hd lklikr (9).

@ssulk `rk` bn jrbss skjthbd bn `ff tck lklikrs hd s`lk. K < 9 * 07; D/ll9

 Q@[, Dbv / Ekj ‚  9707\  

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NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  :> 

9.007)  Ektkrlhdk tck obhdt ehspf`jklkdts, tck obhdt rk`jthbds, kfklkdt nbrjks `de kfklkdt

strkssks bn tck mhvkd truss kfklkdts.  Q@[, @prhf / L`y - 9707\  

Kfklkdts @

jl9 

K

 D /l9 

F

l

Mfbi`f

 Dbek

jbddkjthbd

  Ekmrkk

0 :9.9 >.8k 07 9.;5 9 tb : 87

9 :3.= 97.=k07 9.;5 9 tb 0 7

: 9;.3 97.=k07 :.;8 0 tb : 0:;

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NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  := 

9.000)  Ektkrlhdk tck nbrjk hd tck lklikrs bn tck truss scbwd hd nhmurk.

 Q@[, @prhf / L`y ‚  9700\  

9.009)  Nhde tck dbe`f ehspf`jklkdt ekvkfbpke hd tck pf`dkr truss scbwd hd Nhmurk wckd `

vkrthj`ffy ebwdw`re fb`e bn 0777 D hs `ppfhke `t dbek 5. Uck rkquhrke e`t` `rk

mhvkd hd tck U`ifk.   Q@[, L`y / Oudk ‚  9709\  

Kfklkdt Db.

–k‘ 

Jrbss ‚  Zkjthbd`f `rk` @

jl9 Fkdmtc f (k) jl 

Xbudm‘s Lbeufus

K(k) D/ll9 

0 9 ∟9 ;7  9 * 07> 

9 9 9 ;7  9 * 07> 

: 0 ∟9.; 077  9 * 07> 

5 0 ∟9 077  9 * 07> 

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  :3 

9.00:)  Ekrhvk tck sc`pk nudjthbd nbr ` 9 dbeke ik`l kfklkdt `de ` : dbeke i`r kfklkdt.

 Q@[, Dbv / Ekj ‚  9773\  

9.005)  ]cy hs chmckr brekr kfklkdts dkkeke2 Ektkrlhdk tck sc`pk nudjthbds bn `d khmct

dbeke rkjt`dmuf`r kfklkdt.  Q@[, Dbv / Ekj ‚  977=, @prhf / L`y  ‚  9778\  

9.00;)  Ekrhvk tck sc`pk nudjthbds nbr ` 9E ik`l kfklkdt.

 Q@[, Dbv / Ekj ‚  977=, @prhf / L`y  ‚  9773, 9778\  

9.00>)  Ekrhvk tck sc`pk nudjthbds nbr ` 9E truss kfklkdt.

 Q@[, Dbv / Ekj ‚  977=, @prhf / L`y  ‚  9773, 9778\  

9.00=)  Ekrhvk tck hdtkrpbf`thbd nudjthbd nbr tck bdk ehlkdshbd`f fhdk`r kfklkdt whtc `

fkdmtc ‖ F“ `de twb dbeks, bdk `t k`jc kde, ekshmd`tke `s ‖h“ `de “  o“. @ssulk tck

brhmhd bn tck jbbrehd`tk systkl hs tb tck fknt bn dbek ‖h“.

 Q@[, @prhf / L`y - 9707\  

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  :8 

Nhmurk scbws tck bdk-ehlkdshbd`f fhdk`r kfklkdt

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NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  57 

[DHU  ‚  HHH  ‚  U]B EHLKDZHBD@F NHDHUK KFKLKDU @D@FXZHZ

W@YU  ‚  @

:.0)   D`lk nkw 9-E kfklkdts `fbdm whtc ` dk`t saktjc.

:.9)  Zt`tk tck ehnnkrkdjks iktwkkd 9E kfklkdt `de 0E kfklkdt.

:.:)  Eknhdk F`mr`dmk‘s hdtkrpbf`thbd.

:.5)  ]c`t hs mkblktrhj Hsbtrbpy2  Q@[, L`y / Oudk ‚  970:\  

:.;)  ]rhtk tck F`mr`dmk`d sc`pk nudjthbds nbr ` 0E, 9 dbeke kfklkdts.

 Q@[, Dbv / Ekj ‚  9773\  

:.>)  ]rhtk tck rkf`thbd tb bit`hd tck shzk bn tck sthnndkss l`trhx nbr ` fhdk`r qu`erhf`tkr`f

kfklkdt c`vhdm [x `de [y `s ebn .

:.=)  ]cy hs tck : dbeke trh`dmuf`r kfklkdt j`ffke `s ` JZU kfklkdt2

 Q@[, Dbv / Ekj ‚  9707\  

:.3)  ]rhtk ebwd tck hdtkrpbf`thbd nudjthbd bn ` nhkfe v`rh`ifk nbr tcrkk-dbek trh`dmuf`r

kfklkdt.  Q@[, @prhf / L`y ‚  9707\  

:.8)  ]c`t hs ` JZU kfklkdt2  Q@[, @prhf / L`y ‚  9700\  

:.07)  Er`w tck sc`pk nudjthbds bn ` JZU kfklkdt.  Q@[, Dbv / Ekj ‚  9707\  

:.00)  Kxpf`hd tck hlpbrt`dt prbpkrthks bn JZU kfklkdts.  Q@[, Dbv / Ekj ‚  9773\  

:.09)  ]rhtk ` dbtk bd JZU kfklkdt.  Q@[, L`y / Oudk  ‚  9700\  

:.0:)  ]rhtk irhknfy `ibut FZU `de PZU kfklkdts.

:.05)  ]c`t `rk JZU `de FZU kfklkdts2  Q@[, Dbv / Ekj ‚  9778\  

:.0;)  Eknhdk FZU kfklkdt.  Q@[, Dbv / Ekj ‚  9709\  

:.0>)  ]rhtk tck ehspf`jklkdt nudjthbd kqu`thbd nbr JZU kfklkdt.

:.0=)  ]rhtk tck str`hd ‚  ehspf`jklkdt l`trhx nbr JZU kfklkdt.

:.03)  Ehnnkrkdth`tk JZU ̀ de FZU kfklkdts.  Q@[, Dbv / Ekj ‚  977=, @prhf / L`y  ‚  9778\  

:.08)  Mhvk tck O`jbih`d l`trhx nbr ` JZU kfklkdt `de st`tk hts shmdhnhj`djk.

 Q@[, Dbv / Ekj ‚  970:\  

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NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  50 

:.97)  Kv`fu`tk tck nbffbwhdm `rk` hdtkmr`fs nbr tck tcrkk dbek trh`dmuf`r kfklkdt∡     Q@[, L`y / Oudk ‚  9709\  

:.90)  @ trh`dmuf`r kfklkdt hs scbwd hd Nhmurk `de tck dbe`f jbbrehd`tks `rk kxprksske hd

ll. Jblputk tck str`hd ehspf`jklkdt l`trhx.  Q@[, Dbv / Ekj ‚  9709\  

:.99)  ]c`t eb ybu lk`d iy tck tkrls ? j7,j0 `de jd jbdthduhty2

 Q@[, @prhf / L`y ‚  9707\  

:.9:)  Ehsthdmuhsc iktwkkd J7, J0 `de J9 jbdthduhty kfklkdts.

:.95)  ]c`t `rk tck ehnnkrkdt prbifkls mbvkrdke iy 9E sj`f`r nhkfe v`rh`ifks2

:.9;)  [sk v`rhbus dulikr bn trh`dmuf`r kfklkdts tb lksc tck mhvkd ebl`hd hd tck brekr bn

hdjrk`shdm sbfuthbd rknhdklkdt.

:.9>)  Eknhdk W`sj`f trh`dmfk.

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NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  59 

:.9=)  ]rhtk tck shmdhnhj`djk bn W`sj`f trh`dmfk hd ekvkfbphdm trh`dmuf`r kfklkdts.

:.93)  Ehsthdmuhsc bdk nrbl tck btckr bn tck nbffbwhdm

`) Fhdk`r ̀ de qu`er`thj trh`dmuf`r kfklkdts. i)  Fhdk`r `de qu`er`thj F`mr`dmk

kfklkdts.

:.98)  ]c`t eb ybu lk`d iy `rk` jb-brehd`tk lktcbe2

:.:7)  Zt`tk tck `ev`dt`mk bn skrkdehphty kfklkdt.

:.:0)  ]c`t eb ybu lk`d iy wr`pphdm2

:.:9)  ]rhtk tck dbek dulikrhdm `de kfklkdt jbddkjthvhty t`ifk nbr tck mhvkd ebl`hd

ushdm suht`ifk ehsjrkthz`thbd.

:.::)  Wfbt tck v`rh`thbd bn sc`pk nudjthbd whtc rkspkjt dbek bn ` : dbeke trh`dmuf`r

kfklkdt.

:.:5)  ]rhtk ebwd tck dbe`f ehspf`jklkdt kqu`thbds nbr ` twb ehlkdshbd`f trh`dmuf`r

kf`sthjhty kfklkdt.  Q@[, @prhf / L`y ‚  9707\  

:.:;)  Eknhdk ` pf`dk strkss jbdehthbd.  Q@[, Dbv / Ekj ‚ 

 9700\  

:.:>)  Zt`tk tck jbdehthbd nbr pf`dk strkss prbifkl.

:.:=)  Mhvk bdk kx`lpfk k`jc nbr pf`dk strkss `de pf`dk str`hd prbifkls.

 Q@[, Dbv / Ekj ‚  9773\  

:.:3)  Ehsthdmuhsc iktwkkd pf`dk strkss ̀ de pf`dk str`hd prbifkls. Q@[, Dbv / Ekj ‚  9778\  

:.:8)  Ehsthdmuhsc pf`dk strkss ̀ de pf`dk str`hd jbdehthbds.  Q@[, Dbv / Ekj ‚  9707\  

:.57)  Eknhdk pf`dk str`hd whtc suht`ifk kx`lpfk.  Q@[, Dbv / Ekj ‚  9709\  

:.50)  Eknhdk pf`dk str`hd `d`fyshs.  Q@[, Dbv / Ekj ‚  9700\  

:.59)  Eknhdk ` pf`dk strkss prbifkl whtc ` suht`ifk kx`lpfk.  Q@[, L`y / Oudk ‚  970:\  

:.5:)  Kxpf`hd pf`dk strkss prbifkl whtc `d kx`lpfk.  Q@[, @prhf / L`y ‚  9700\  

:.55)  Kxpf`hd pf`dk strkss jbdehthbds whtc kx`lpfk.  Q@[, L`y / Oudk  ‚  9700\  

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  5: 

:.5;)  ]rhtk ebwd tck str`hd ehspf`jklkdt rkf`thbd.  Q@[, @prhf / L`y ‚  9700\  

:.5>)  Zt`tk wcktckr pf`dk strkss br pf`dk str`hd kfklkdts j`d ik uske tb lbekf tck

nbffbwhdm strujturks. Ousthny ybur ̀ dswkr.  Q@[, Dbv / Ekj ‚  9709\  

(`) @ w`ff suiokjtke tb whde fb`e

(i) @ wrkdjc suiokjtke tb ` nbrjk hd tck pf`dk bn tck wrkdjc.

:.5=)  ]rhtk tck `ssulpthbds uske tb eknhdk tck mhvkd prbifkl `s pf`dk strkss prbifkl.

:.53)  ]rhtk tck `ssulpthbds uske tb eknhdk tck mhvkd prbifkl `s pf`dk str`hd prbifkl.

:.58)  [shdm mkdkr`f strkss - str`hd rkf`thbd, bit`hd pf`dk strkss kqu`thbd.

:.;7)  Ikmhddhdm whtc mkdkr`f kf`sthj strkss-str`hd rkf`thbd, ekrhvk tck pf`dk str`hd

jbdehthbd.

:.;0)  ]c`t `rk tck ehnnkrkdjks iktwkkd 9 Ehlkdshbd`f sj`f`r v`rh`ifk `de vkjtbr v`rh`ifk

kfklkdts2  Q@[, Dbv / Ekj ‚  9778\  

:.;9)  ]c`t `rk tck w`ys iy wchjc ` tcrkk ehlkdshbd`f prbifkl j`d ik rkeujke tb ` twb

ehlkdshbd`f prbifkl2

:.;:)  Cbw tb rkeujk ` :E prbifkl hdtb ` 9E prbifkl2  Q@[, Dbv / Ekj ‚  9709\  

:.;5) 

Mhvk tck sthnndkss l`trhx kqu`thbd nbr ̀ d ̀ xhsyllktrhj trh`dmuf`r kfklkdt.

:.;;)  ]c`t hs `xhsyllktrhj kfklkdt2

:.;>)  Mhvk kx`lpfks bn `xhsyllktrhj prbifkls.  Q@[, L`y / Oudk ‚  9709\  

:.;=)  ]c`t hs `d ̀ xhsyllktrhj prbifkl2  Q@[, @prhf / L`y ‚  9700\  

:.;3)  ]rhtk scbrt dbtks bd `xhsyllktrhj prbifkls.

 Q@[, Dbv / Ekj ‚  977=, @prhf / L`y  ‚  9778\  

:.;8)  ]c`t hs lk`dt iy `xh-sylktrhj nhkfe prbifkl2 Mhvkd `d kx`lpfk.

 Q@[, Dbv / Ekj ‚  9778\  

:.>7)  ]ckd ̀ rk `xhsyllktrhj kfklkdts prknkrrke2  Q@[, Dbv / Ekj ‚  970:\  

:.>0)  Zt`tk tck shtu`thbds wckrk tck ̀ xhsyllktrhj nbrluf`thbd j`d ik ̀ ppfhke.

 Q@[, @prhf / L`y ‚  9700\  

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  55 

:.>9)  Mhvk nbur `ppfhj`thbds wckrk `xhsyllktrhj kfklkdts j`d ik uske.

 Q@[, @prhf / L`y ‚  9700\  

:.>:)  Zt`tk tck `ppfhj`thbds bn ̀ xhsyllktrhj kfklkdts.  Q@[, Dbv / Ekj ‚  9707\  

:.>5)  ]rhtk ebwd tck jbdsthtuthvk rkf`thbdschp nbr ̀ xhsyllktrhj prbifkl.

 Q@[, @prhf / L`y ‚ 

 9778\  

:.>;)  ]rhtk ebwd tck jbdsthtuthvk rkf`thbdschp nbr tck pf`dk strkss prbifkl.

 Q@[, Dbv / Ekj ‚  9707\  

:.>>)  ]c`t eb ybu lk`d iy jbdsthtuthvk f`w `de mhvk tck jbdsthtuthvk f`w nbr `xh-

syllktrhj prbifkls2  Q@[, @prhf / L`y, Dbv / Ekj ‚  9773\  

:.>=)  Zpkjhny tck ibey nbrjk tkrl `de tck ibey nbrjk vkjtbr nbr `xhsyllktrhj trh`dmuf`r

kfklkdt.  Q@[, Dbv / Ekj ‚ 

 970:\  

:.>3)  Mhvk bdk kx`lpfk k`jc nbr pf`dk strkss `de pf`dk str`hd prbifkls.

 Q@[, @prhf / L`y - 9773\  

:.>8)  Kxpf`hd pf`dk str`hd prbifkl whtc `d kx`lpfk.  Q@[, L`y / Oudk ‚  9709\  

:.=7)  Mhvk ` irhkn dbtk bd st`thj jbdekds`thbd.

:.=0)  Wrbvk tc`t 9  7 nbr pf`dk str`hd jbdehthbd.

:.=9)  Ehnnkrkdth`tk ̀ xh ‚  syllktrhj `de jyjfhj ‚ syllktrhj strujturks.

:.=:)  Ehnnkrkdth`tk ̀ xh-syllktrhj fb`e ̀ de `syllktrhj fb`e whtc kx`lpfks.

:.=5)  Zt`tk tck jbdehthbd nbr ̀ xh-syllktrhj prbifkl.

:.=;)  Fhst tck rkquhrke jbdehthbds nbr ` prbifkl ̀ ssulke tb ik `xhsyllktrhj.

 Q@[, @prhf / L`y ‚  9707\  

:.=>)  ]c`t `rk tck nbur i`shj skts bn kf`sthjhty kqu`thbds2  Q@[, L`y / Oudk ‚ 

 9709\  

:.==)  Mhvk kx`lpfks nbr tck nbffbwhdm j`sks.

`) pf`dk strkss prbifkl i) pf`dk str`hd prbifkl j) `xh-syllktrhj prbifkl

:.=3)  Eknhdk tck nbffbwhdm tkrls whtc suht`ifk kx`lpfks  Q@[, @prhf / L`y ‚  9707\  

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  5; 

h)  Wf`dk strkss, pf`dk str`hd hh)  Dbek, kfklkdt `de sc`pk nudjthbds

hhh)  @xhsyllktrhj `d`fyshs hv) Hsb ‚  p`r`lktrhj kfklkdt

:.=8)  Eknhdk tck tkrl hdhth`f str`hd.

:.37)  Zt`tk tck knnkjt bn Wbhssbd‘s r`thb hd pf`dk str`hd prbifkl.

:.30)  Cbw whff tck strkss nhkfe v`ry fhdk`rfy2

:.39)  Jblp`rk tck jc`dmks hd tck  E l`trhx kvbfvke but bn pf`dk str`hd, pf`dk strkss `de

`xh-syllktrhj prbifkl.

:.3:)  ]c`t eb ybu lk`d iy Hsbp`r`lktrhj nbrluf`thbds2

 Q@[, Dbv / Ekj ‚  977=, @prhf / L`y  ‚  9778\  

:.35)  Kxprkss tck sc`pk nudjthbds bn nbur dbek qu`erhf`tkr`f kfklkdt.

 Q@[, L`y / Oudk ‚  9709\  

:.3;)  ]c`t eb ybu udekrst`de iy ` d`tur`f jb ‚  brehd`tk systkl2

 Q@[, @prhf / L`y ‚  9700\  

:.3>)  ]c`t eb ybu lk`d iy d`tur`f jb-brehd`tk systkl2  Q@[, L`y / Oudk  ‚  9700\  

:.3=)  ]c`t `rk tck `ev`dt`mks bn d`tur`f jb-brehd`tks2

 Q@[, Dbv / Ekj ‚  977=, @prhf / L`y  ‚  9778\  

:.33)  ]c`t `rk tck `ev`dt`mks bn d`tur`f jbbrehd`tks bvkr mfbi`f jb-brehd`tks2

 Q@[, Dbv / Ekj ‚  9773\  

:.38)  Mhvk ` irhkn dbtk bd d`tur`f jb-brehd`tk systkl.

:.87)  ]rhtk tck d`tur`f jb-brehd`tks nbr tck pbhdt ‖W“ bn tck trh`dmuf`r kfklkdt. Uck pbhdt

–W‘ hs tck J.M. bn tck trh`dmfk.  Q@[, Dbv / Ekj ‚  9773\  

:.80)  Zcbw tck tr`dsnbrl`thbd nbr l`pphdm x-jbbrehd`tk systkl bdtb ` d`tur`f jbbrehd`tk

systkl nbr ` fhdk`r sp`r kfklkdt `de nbr ` qu`er`thj sp`r kfklkdt.

 Q@[, Dbv / Ekj ‚  9709\  

:.89)  Eknhdk ` fbj`f jb ‚  brehd`tk systkl.  Q@[, Dbv / Ekj ‚  9700\  

:.8:)  ]c`t hs `rk` jb ‚  brehd`tks2  Q@[, Dbv / Ekj ‚  9700\  

:.85)  ]c`t eb ybu udekrst`de iy `rk` jb ‚  brehd`tks2  Q@[, @prhf / L`y ‚  9700\  

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  5> 

:.8;)  Zt`tk tck i`shj f`ws bd wchjc Hsbp`r`lktrhj jbdjkpt hs ekvkfbpke.

 Q@[, @prhf / L`y ‚  9773\  

:.8>)  Ehnnkrkdth`tk? fbj`f `xhs `de mfbi`f `xhs.  Q@[, @prhf / L`y ‚  9773\  

:.8=)  Eknhdk supkr p`r`lktrhj kfklkdt.  Q@[, @prhf / L`y ‚  9778\  

:.83)  Kxpf`hd supkr p`r`lktrhj kfklkdt.  Q@[, Dbv / Ekj ‚ 

 9707\  

:.88)  Eknhdk Hsbp`r`lktrhj kfklkdts2  Q@[, Dbv / Ekj ‚  9773\  

:.077)  Eknhdk Hsbp`r`lktrhj kfklkdts whtc suht`ifk kx`lpfks  Q@[, @prhf / L`y ‚  9707\  

:.070)  Eknhdk Hsbp`r`lktrhj kfklkdt nbrluf`thbds.  Q@[, Dbv / Ekj ‚  9709\  

:.079)  ]c`t eb ybu lk`d iy Hsbp`r`lktrhj nbrluf`thbd2  Q@[, @prhf / L`y ‚  9700\  

:.07:)  ]c`t hs tck purpbsk bn Hsbp`r`lktrhj kfklkdts2

:.075)  ]c`t hs tck s`fhkdt nk`turk bn `d Hsbp`r`lktrhj kfklkdt2 Mhvk `d kx`lpfk.

 Q@[, Dbv / Ekj ‚  970:\  

:.07;)  ]c`t ̀ rk tck `ppfhj`thbds bn Hsbp`r`lktrhj kfklkdts2  Q@[, @prhf / L`y ‚  9700\  

:.07>)  Ehnnkrkdth`tk x ‚  y sp`jk `de - sp`jk.

:.07=)  ]rhtk tck `ev`dt`mks bn jb-brehd`tk tr`dsnbrl`thbd nrbl J`rtksh`d jb-brehd`tks tb

d`tur`f jb-brehd`tks.

:.073)  Eknhdk O`jbih`d.  Q@[, Dbv / Ekj ‚  970:\  

:.078)  ]c`t hs ` O`jbih`d2  Q@[, Dbv / Ekj ‚  9707\  

:.007)  ]c`t hs tck dkke bn O`jbih`d2  Q@[, @prhf / L`y ‚  9700\  

:.000)  ]rhtk ebwd tck O`jbih`d l`trhx.  Q@[, Dbv / Ekj ‚  9707\  

:.009)  ]rhtk ̀ ibut O`jbih`d tr`dsnbrl`thbd uske hd jb-brehd`tk tr`dsnbrl`thbd.

:.00:)  ]c`t hs tck shmdhnhj`djk bn O`jbih`d bn tr`dsnbrl t̀hbd2  Q@[, L`y / Oudk ‚  9709\  

:.005)  Ehnnkrkdth`tk iktwkkd sui-p`r`lktrhj, hsb- p`r`lktrhj `de supkr  ‚   p`r`lktrhj

kfklkdts.

:.00;)  Mhvk twb kx`lpfks nbr sui p`r`lktrhj kfklkdts.  Q@[, Dbv / Ekj ‚  970:\  

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  5= 

:.00>)  Ykprkskdt tck v`rh`thbd bn sc`pk nudjthbd whtc rkspkjt tb dbeks nbr qu`er`thj

kfklkdts hd tkrls bn d`tur`f jb-brehd`tks.

:.00=)  Jblp`rk fhdk`r lbekf, qu`er`thj lbekf `de juihj lbekf hd tkrls bn d`tur`f jb-

brehd`tk systkl.

:.003)  ]rhtk ` irhkn dbtk bd jbdthduhty `de jblp`thihfhty.

:.008)  ]rhtk ebwd tck kfklkdt nbrjk vkjtbr kqu`thbd nbr ` nbur dbeke qu`erhf`tkr`f

kfklkdt.

:.097)  ]rhtk ebwd tck O`jbih`d l`trhx nbr ` nbur dbeke qu`erhf`tkr`f kfklkdt

:.090)  ]rhtk tck sc`pk nudjthbd nbr tck qu`erhf`tkr`f kfklkdt hd ,  sp`jk.

:.099)  ]cy hs nbur dbeke qu`erhf`tkr`f kfklkdt hs prknkrrke nbr `xh-syllktrhj prbifkl

tc`d tcrkk dbeke trh`dmuf`r kfklkdt2

:.09:)  Zaktjc ` nbur dbek qu`erhf`tkr`f kfklkdt `fbdm whtc dbe`f ekmrkks bn nrkkebl.

 Q@[, @prhf / L`y ‚  9700\  

:.095)  ]rhtk ebwd tck sthnndkss l`trhx nbr nbur dbeke qu`erhf`tkr`f kfklkdts.

 Q@[, L`y / Oudk  ‚  9700\  

:.09;)  Ehsthdmuhsc iktwkkd ksskdth`f ibude`ry jbdehthbds `de d`tur`f ibude`ry

jbdehthbds.  Q@[, Dbv / Ekj  ‚  9778\  

:.09>)  ]rhtk tck `ev`dt`mks bn chmckr brekr kfklkdts hd d`tur`f jb ‚  brehd`tk systkl.

:.09=)  ]c`t `rk tck typks bn dbd-fhdk`rhty2

 Q@[, Dbv / Ekj  ‚  977=, @prhf / L`y  ‚  9778, L`y / Oudk  ‚  9709\  

:.093)  Zt`tk tck `ev`dt`mk bn M`ussh`d hdtkmr`thbd.

:.098)  Zt`tk tck nbur-pbhdt M`ussh`d qu`er`turk rufk.

:.0:7)  Irhknfy kxpf`hd M`ussh`d qu`er`turk.  Q@[, @prhf / L`y ‚  9700\  

:.0:0)  ]c`t `rk tck `ev`dt`mks bn M`ussh`d qu`er`turk2  Q@[, Dbv / Ekj ‚  9709\  

:.0:9)  ]c`t `rk tck wkhmcts `de s`lpfhdm pbhdts bn twb pbhdt nbrluf` bn M`uss

qu`er`turk nbrluf`2  Q@[, L`y / Oudk ‚  9709\  

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  53 

:.0::)  ]cy dulkrhj`f hdtkmr`thbd hs rkquhrke nbr kv`fu`thbd bn sthnndkss l`trhx bn `d

Hsbp`r`lktrhj kfklkdt2  Q@[, Dbv / Ekj ‚  9700\  

:.0:5)  ]ckd eb wk rksbrt tb dulkrhj`f hdtkmr`thbd hd 9E kfklkdts2

 Q@[, Dbv / Ekj ‚  970:\  

:.0:;)  ]rhtk tck M`uss pbhdts `de wkhmcts nbr twb pbhdt nbrluf` bn dulkrhj`f hdtkmr`thbd.

 Q@[, @prhf / L`y ‚  9700\  

:.0:>)  ]rhtk ebwd tck M`uss hdtkmr`thbd nbrluf` nbr trh`dmuf`r ebl`hds.

 Q@[, @prhf / L`y ‚  9778\  

:.0:=)  Kv`fu`tk tck hdtkmr`f ∡  ushdm M`ussh`d qu`er`turk lktcbe.

 Q@[, Dbv / Ekj ‚  9709\  

:.0:3)   D`lk tck jbllbdfy uske hdtkmr̀ thbd lktcbe hd d`tur`f ‚  jb-brehd`tk systkl.

:.0:8)  ]rhtk tck rkf`thbd iktwkkd wkhmcts ̀ de M`uss pbhdts hd M`uss-Fkmkderk qu`er`turk.

W@YU  ‚  I

:.057)  Ektkrlhdk tck sc`pk nudjthbds nbr ` jbdst`dt str`hd trh`dmuf`r (JZU) kfklkdt hd

tkrls bn d`tur`f jbbrehd`tk systkl.  Q@[, Dbv / Ekj ‚  9773\  

:.050)  ]c`t `rk sc`pk nudjthbds2 Ekrhvk tck sc`pk nudjthbd nbr tck tcrkk dbeke trh`dmuf`r

kfklkdts.  Q@[, Dbv / Ekj ‚  9700\  

:.059)  Ekrhvk tck kfklkdt str`hd ehspf`jklkdt l`trhx `de kfklkdt sthnndkss l`trhx bn `

JZU kfklkdt.  Q@[, @prhf / L`y ‚  9700\  

:.05:)  Kxpf`hd tck tkrls  pf`dk strkss `de  pf`dk str`hd  prbifkls. Mhvk tck jbdsthtuthvk

f`ws nbr tcksk j`sks.  Q@[, Dbv / Ekj ‚  977=, @prhf / L`y ‚  9778\  

:.055)  Ekrhvk tck kqu`thbds bn kquhfhirhul hd tck j`sk bn ` tcrkk ehlkdshbd`f systkl.

 Q@[, Dbv / Ekj ‚  977=, 9773, @prhf / L`y  ‚  9778\

:.05;)  Ekrhvk tck kxprksshbd nbr jbdsthtuthvk strkss-str`hd rkf`thbdschp `de `fsb rkeujk ht tb

tck prbifkl bn pf`dk strkss `de pf`dk str`hd.  Q@[, Dbv / Ekj - 9773\  

:.05>)  Ekrhvk tck jbdst`dt-str`hd trh`dmuf`r kfklkdt‘s sthnndkss l`trhx `de kqu`thbds. 

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  58 

 Q@[, @prhf / L`y - 9773\  

:.05=)  Ekrhvk tck fhdk`r ‚  str`hd trh`dmuf`r kfklkdt‘s sthnndkss l`trhx `de kqu`thbds.

 Q@[, @prhf / L`y ‚  9773\  

:.053)  Ekrhvk tck sthnndkss l`trhx `de kqu`thbds nbr ` FZU kfklkdt.

 Q@[, Dbv / Ekj ‚ 

 9709\  

:.058)  Ekrhvk tck kfklkdt str`hd ehspf`jklkdt l`trhx `de kfklkdt sthnndkss l`trhx bn `

trh`dmuf`r kfklkdt.  Q@[, L`y / Oudk ‚  9709\  

:.0;7)  @ twb dbeke fhdk kfklkdt whtc bdk tr`dsf`thbd`f ekmrkk bn nrkkebl hs suiokjtke tb `

udhnbrlfy v`ryhdm fb`e bn hdtkdshty W0  `t dbek 0 `de W9  `t dbek 9. Kv`fu`tk tck

dbe`f fb`e vkjtbr ushdm dulkrhj`f hdtkmr`thbd.  Q@[, Dbv / Ekj ‚  9709\  

:.0;0)  J`fjuf`tk tck kfklkdt strkssks 90  `de,,,           xy y x  `de tck prhdjhpfk `dmfk  p   nbr

tck kfklkdt scbwd ikfbw.

:.0;9)  Uck dbe`f jb-brehd`tks bn tck trh`dmuf`r kfklkdt hs s̀ scbwd ikfbw. @t tck hdtkrhbr

 pbhdt W, tck x- jb-brehd`tk hs :.: `de D0 < 7.:. Ektkrlhdk D9, D: `de tck y  ‚  jb-

brehd`tk `t pbhdt W.

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  ;7 

:.0;:)  Uck ( x,y) jb-brehd`tks bn dbeks h, o `de a  bn ` trh`dmuf`r kfklkdt `rk mhvkd iy (7,7),

(:,7) `de (0.;,5) ll rkspkjthvkfy. Kv`fu`tk tck sc`pk nudjthbds  D 0, D 9 `de D : `t `d

hdtkrhbr pbhdt  W  (9, 9.;) ll nbr tck kfklkdt. Nbr tck s`lk trh`dmuf`r kfklkdt, bit`hd

tck str`hd-ehspf`jklkdt rkf`thbd l`trhx I.  Q@[, Dbv / Ekj ‚  9778\  

:.0;5) 

Nbr tck trh`dmuf`r kfklkdt scbwd ikfbw, bit`hd tck str`hd  ‚  ehspf`jklkdt rkf`thbdl`trhx I `de ektkrlhdk tck str`hds x ,y `de xy.

:.0;;)  Ekrhvk tck kxprksshbd nbr dbe`f vkjtbr hd ` JZU kfklkdt suiokjtke tb prkssurks W x0 ,

W y0 bd shek 0, W x9, W y9, bd shek 9 `de W x:, W y: bd shek : `s scbwd hd nhmurk.

 Q@[, Dbv / Ekj ‚ 

 970:\  

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  ;0 

:.0;>)  Jbdshekr tck trh`dmuf`r kfklkdt scbw hd Nhmurk. Uck kfklkdt hs kxtr`jtke nrbl `

tchd pf`tk bn tchjadkss 7.; jl. Uck l`tkrh`f hs cbt rbffke fbw j`ribd stkkf. Uck

 Dbe`f jb-brehd`tks `rk xh <7, yh < 7, x o <7, y o < -0 , xa  <7, ya  < -0 jl,. Ektkrlhdk tck

kfklkdt`f sthnndkss l`trhx. @ssulhdm pf`dk strkss `d`fyshs. U`ak » < 7.: `de K <

9.0*07= D/jl9   Q@[, L`y / Oudk ‚  9709\  

:.0;=)  Ekrhvk tck hdtkrpbf`thbd nudjthbd 05 nbr tck qu`er`thj trh`dmuf`r kfklkdt `s scbwd

 ikfbw.

:.0;3)  Ekrhvk tck hdtkrpbf`thbd nudjthbd bn ` jbrdkr dbek hd ` juihj skrkdehphty kfklkdt.

:.0;8)  Nhde tck kxprksshbd nbr dbe`f vkjtbr hd ` JZU kfklkdt scbwd hd nhmurk suiokjtke tb

 prkssurks W  x0 bd shek 0.  Q@[, Dbv / Ekj ‚  9773\  

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  ;9 

:.0>7)  Nbr tck JZU kfklkdt mhvkd ikfbw, `ssklifk st`hd ehspf`jklkdt l`trhx. U`ak t < 97

ll `de K < 9*07; D/ll9 Q@[, Dbv / Ekj - 9773\  

:.0>0) 

J`fjuf`tk tck v`fuk bn prkssurk `t tck pbhdt @ wchjc hs hdshek tck : dbeke trh`dmuf`rkfklkdts `s scbwd hd nhmurk. Uck dbe`f v`fuks `rk ώ0 < 57 LW`, ώ9 < :5 LW` `de ώ: 

< 5> LW`, Wbhdt @ hs fbj`tke `t (9, 0.;) @ssulk prkssurk hs fhdk`rfy v`ryhdm hd tck

kfklkdt. @fsb ektkrlhdk tck fbj`thbd bn 59 LW` jbdtbur fhdk.

 Q@[, L`y / Oudk ‚  970:\  

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  ;: 

:.0>9)  Bit`hd tck mfbi`f sthnndkss l`trhx nbr tck pf`tk scbwd hd nhmurk. U`ahdm twb

trh`dmuf`r kfklkdts. @ssulk pf`dk strkss jbdehthbd.  Q@[, L`y / Oudk ‚  9709\  

:.0>:)  Nbr tck jbdst`dt str`hd trh`dmuf`r kfklkdt scbwd hd nhmurk ikfbw, `ssklifk tck

str`hd ‚  ehspf`jklkdt l`trhx. U`ak t < 97 ll `de K < 9 x 07;  D/ll9.

 Q@[, Dbv / Ekj ‚  977=, 970:, @prhf / L`y  ‚  9778\  

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  ;5 

:.0>5)  @ JZU kfklkdt c`s dbe f̀ jbbrehd`tks 0 (7,7), 9 (;,7), : (7,5). Uck kfklkdt hs

suiokjtke tb ` ibey nbrjk n < x: D/l:. Ektkrlhdk tck dbe`f nbrjk vkjtbr. U`ak tck

kfklkdt tchjadkss ̀ s 7.:l.  Q@[, Dbv / Ekj ‚  970:\  

:.0>;)  Nbr tck pf`dk str`hd kfklkdt scbwd hd tck nhmurk, tck dbe`f ehspf`jklkdts `rk mhvkd

`s ? u0< 7.77; ll, u9 < 7.779 ll, u:<7.7ll, u5 < 7.7 ll, u; < 7.775 ll, u> 

< 7.7 ll. Ektkrlhdk tck kfklkdt strkssks. U`ak K  < 977 Mp` `de  < 7.:. [sk udht

tchjadkss nbr pf`dk str`hd.  Q@[, @prhf / L`y - 9707\  

:.0>>)  Nbr tck twb-ehlkdshbd`f fb`eke pf`tk `s scbwd hd Nhmurk. Ektkrlhdk tck dbe`f

ehspf`jklkdts `de kfklkdt strkss ushdm pf`dk str`hd jbdehthbd jbdshekrhdm ibey

nbrjk. U`ak Xbudm‘s lbeufus `s 977 MW`, Wbhssbd‘s  r`thbd `s 7.: `de ekdshty `s

=377 am/l:.  Q@[, @prhf / L`y ‚  9700\  

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  ;; 

:.0>=)  Ekrhvk kfklkdt nbrjk vkjtbr wckd fhdk`rfy v`ryhdm prkssurk `jts bd tck shek obhdhdm

dbeks oa bn ` trh`dmuf`r kfklkdt scbwd hd Nhmurk `de ibey nbrjk bn 9;D/ll9

 `jts

ebwdw`res. Uchjadkss < ;ll.  Q@[, @prhf / L`y ‚  9700\  

:.0>3) 

Nbr tck pf`dk strkss kfklkdt wcbsk jbbrehd`tks `rk mhvkd iy (077,077), (577, 077)`de (977, 5777, tck dbe`f ehspf`jklkdts `rk u0 < 9.7ll, v0 <f.7ll, u9 <f.7ll, v9 

<0.;ll, u:  < 9.;ll, v:  < 7.;ll. Ektkrlhdk tck kfklkdt strkssks. @ssulk K <

977 MD/l9, » < 7.: `de t < 07 ll. @ff jbbrehd`tks `rk hd ll.

 Q@[, L`y / Oudk ‚  970:\  

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  ;> 

:.0>8)  @ tchd pf`tk ` suiokjtke tb surn`jk nr`jthbd `s scbwd hd Nhmurk. J`fjuf`tk tck mfbi`f

sthnndkss l`trhx. U`ifk t < 9; ll, K < 9 *07; D/ll9 `de κ < 7.:7. @ssulk pf`dk 

strkss jbdehthbd.  Q@[, Dbv / Ekj ‚  9700\  

:.0=7)  Ektkrlhdk tck eknfkjthbd bn ` tchd pf`tk suiokjtke tb kxtkdshbd`f fb`e `s scbwd.

:.0=0)  J`fjuf`tk dbe`f ehspf`jklkdt `de kfklkdt`f strkssks nbr tck truss scbwd hd Nhmurk.

K < =7 MW` jrbss-skjthbd`f `rk` @ < 9 jl9 nbr `ff truss lklikrs.

 Q@[, Dbv / Ekj ‚  9709\  

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  ;= 

:.0=9)  @ tchd kf`sthj pf`tk suiokjtke tb udhnbrlfy ehstrhiutke kemk fb`e `s scbwd ikfbw.

Nhde tck sthnndkss `de nbrjk l`trhx bn tck kfklkdt.

:.0=:)  Nbr tck jbdnhmur`thbd `s scbwd hd nhmurk ektkrlhdk tck eknfkjthbd `t tck pbhdt fb`e

`ppfhj`thbds. [sk bdk lbekf lktcbe. @ssulk pf`dk strkss jbdehthbd.

 Q@[, @prhf / L`y ‚  9700\  

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  ;3 

:.0=5)  Ekrhvk tck kxprksshbd nbr tck kfklkdt sthnndkss l`trhx nbr `d `xhsyllktrhj sckff

kfklkdt.  Q@[, Dbv / Ekj ‚  977=, @prhf / L`y  ‚  9778\  

:.0=;)  Eksjrhik tck stkp iy stkp prbjkeurk bn sbfvhdm `xhsyllktrhj prbifkl iy nhdhtk

kfklkdt nbrluf`thbd.  Q@[, L`y / Oudk ‚ 

 9709\  

:.0=>)  Ekrhvk `d kxprksshbd nbr tck sthnndkss l`trhx bn `d `xhsyllktrhj kfklkdt.

 Q@[, @prhf / L`y ‚  9700\  

:.0==)  Nbr `d `xhsyllktrhj trh`dmuf`r kfklkdt. Bit`hd tck QI\ l`trhx `de jbdsthtuthvk

l`trhx  Q@[, Dbv / Ekj ‚  9707\  

:.0=3)  Ekrhvk tck strkss-str`hd rkf`thbdschp l`trhx (E) nbr tck `xhsyllktrhj trh`dmuf`r

kfklkdt.  Q@[, Dbv / Ekj ‚  9709\  

:.0=8)  Kxpf`hd tck lbekfhdm bn jyfhdekrs suiokjtke tb hdtkrd`f `de kxtkrd`f prkssurk ushdm

`xhsyllktrhj.  Q@[, Dbv / Ekj ‚  9700\  

:.037)  Nbr ` tchja jyfhdekr suiokjtke tb hdtkrd`f `de kxtkrd`f prkssurk, hdehj`tk tck stkps bn

nhdehdm tck r`eh`f strkss.  Q@[, Dbv / Ekj ‚  9707\  

:.030)  Ekrhvk tck l`tkrh`f prbpkrty l`trhx nbr ̀ xhsyllktrhj kf`sthjhty.

 Q@[, Dbv / Ekj ‚  9700\  

:.039)  Kxpf`hd M`fkrahd‘s lktcbe bn nbrluf`thbd nbr ektkrlhdhdm tck sthn ndkss l`trhx nbr

`d ̀ xhsyllktrhj trh`dmuf`r kfklkdt.  Q@[, Dbv / Ekj ‚  970:\  

:.03:)  Uck ( x, y) jb- brehd`tks bn dbeks h, o `de a  bn `d `xhsyllktrhj trh`dmuf`r kfklkdt

`rk mhvkd iy (:, 5), (>, ;), `de (;, 3) jl rkspkjthvkfy. Uck kfklkdt ehspf`jklkdt (hd

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  ;8 

jl) vkjtbr hs mhvkd `s q < Q7.779, 7.770, 7.770, 7.775, -7.77:, 7.77=\U. Ektkrlhdk

tck kfklkdt str`hds.  Q@[, Dbv / Ekj ‚  9778\  

:.035)  @ fbdm jyfhdekr bn hdshek eh`lktkr 37 ll `de butshek eh`lktkr 097 ll sdumfy nhts

hd ` cbfk bvkr hts nuff fkdmtc. Uck jyfhdekr hs tckd suiokjtke tb `d hdtkrd`f prkssurk

bn 9 LW`. [shdm twb kfklkdts bd tck 07 ll fkdmtc scbwd, nhde tck ehspf`jklkdt`t tck hddkr r`ehus.

:.03;)  Ektkrlhdk tck sthnndkss l`trhx nbr tck `xhsyllktrhj kfklkdt scbwd hd nhm, U`ak K `s

9.0* 07> D/ll9 `de Wbhssbd's r`thb `s 7.:.  Q@[, Dbv / Ekj ‚  9709\  

:.03>)  Ektkrlhdk tck kfklkdt strkssks nbr tck `xhsyllktrhj kfklkdt `s scbwd ikfbw. U`ak

K < 9.0 x 07;  D/ll9 `de < 7.9;.

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  >7 

[sk tck dbe`f ehspf`jklkdts `s

u0 < 7.7; ll  w0 < 7.7: ll 

u9 < 7.79 ll  w9 < 7.79 ll 

u: < 7 ll w: < 7 ll

:.03=)  Jblputk tck str`hd ehspf`jklkdt l`trhx nbr tck nbffbwhdm `xhsyllktrhj kfklkdt.

@fsb j`fjuf`tk tck kfklkdt strkss vkjtbrs. Hn

Qq\ < Q :.535 7 :.:90 7 7 7\U * 07-: jl

QE\ <    Q@[, @prhf / L`y ‚  9700\  

:.033)  @d bpkd kdeke stkkf jyfhdekr c`s ` fkdmtc bn 977ll `de tck hddkr `de butkr

eh`lktkrs `s >3ll `de 077ll rkspkjthvkfy. Uck jyfhdekr hs suiokjtke tb `d

hdtkrd`f prkssurk bn 9LW`. Ektkrlhdk tck eknbrlke sc`pk `de ehstrhiuthbd bn

 prhdjhpfk strkssks. U`ak K < 977MW` `de Wbhssbd‘s r`thb < 7.:

 Q@[, @prhf / L`y ‚  9700\  

:.038)  Ekrhvk tck Hsbp`r`lktrhj rkprkskdt`thbd nbr ̀ trh`dmuf`r kfklkdt.

 Q@[, Dbv / Ekj ‚  9707\  

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  >0 

:.087)  Ekrhvk kfklkdt sthnndkss l`trhx nbr ̀ fhdk`r Hsbp`r`lktrhj qu`erhf`tkr f̀ kfklkdt

 Q@[, Dbv / Ekj  ‚  977=, @prhf / L`y ‚  9773\  

:.080)  Ekrhvk sthnndkss l`trhx nbr ̀ fhdk`r Hsbp`r`lktrhj kfklkdt.  Q@[, Dbv / Ekj ‚  9709\  

:.089)  Kxpf`hd tck tkrls Hsbp`r`lktrhj sui p`r`lktrhj ̀ de supkr p`r`lktrhj kfklkdts.

 Q@[, Dbv / Ekj ‚ 

 970:\  

:.08:)  Ehsthdmuhsc iktwkkd sui p`r`lktrhj ̀ de supkr p`r`lktrhj kfklkdts.

 Q@[, Dbv / Ekj  ‚  9778, 9707\  

:.085)  Kst`ifhsc tck sc`pk nudjthbds bn `d khmct dbek qu`erhf`tkr`f kfklkdt `de rkprkskdt

tckl mr`pchj`ffy.  Q@[, @prhf / L`y ‚  9700\  

:.08;)  Kst`ifhsc `dy twb sc`pk nudjthbds jbrrkspbdehdm tb bdk jbrdkr dbek `de bdk lhe  ‚  

dbek nbr `d khmct dbek qu`erhf`tkr`f kfklkdt.  Q@[, Dbv / Ekj ‚ 

 970:\  

:.08>)  Ekrhvk tck sc`pk nudjthbd nbr `d khmct dbeke irhja kfklkdt.

 Q@[, @prhf / L`y ‚  9778\  

:.08=)  Ekrhvk tck sc`pk nudjthbds bn ̀ dhdk dbek qu`erhf`tkr`f Hsbp`r`lktrhj kfklkdt.

 Q@[, @prhf / L`y ‚  9700, L`y / Oudk  ‚  9709\  

:.083)  Ekrhvk kfklkdt sthnndkss l`trhx nbr fhdk`r Hsbp`r`lktrhj qu`erhf`tkr`f kfklkdt.

 Q@[, @prhf / L`y ‚  9778, L`y / Oudk  ‚  9700\  

:.088)  Eksjrhik tck kfklkdt str`hd ehspf`jklkdt l`trhx bn ` nbur dbek qu`erhf`tkr`f

kfklkdt.  Q@[, L`y / Oudk ‚  9709\  

:.977)  Ekrhvk tck sc`pk nudjthbd nbr `d khmct ‚  dbeke qu`erhf`tkr`f kfklkdt hd ,  sp`jk.

:.970)  Kst`ifhsc tck ibey nbrjk `de tr`jthbd nbrjk (udhnbrlfy ehstrhiutke) vkjtbr nbr `

fbwkr brekr qu`erhf`tkr`f kfklkdt.  Q@[, Dbv / Ekj ‚  970:\  

:.979)  Nbr tck Hsbp`r`lktrhj qu`erhf`tkr`f kfklkdt `s scbwd ikfbw, tck J`rtksh`d jb-

brehd`tks bn tck pbhdt W `rk (>,5). Uck fb`es 07 AD  `de 09 AD  `rk `jthdm hd S `de

X ehrkjthbds bd tc`t pbhdt W. Kv`fu`tk tck dbe`f kquhv`fkdt nbrjks.

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NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  >9 

:.97:)  Jbdshekr tck qu`erhf`tkr`f kfklkdt `s scbwd ikfbw ushdm tck fhdk`r hdtkrpbf`thbd

nudjthbds bn ` rkjt`dmuf`r kfklkdt, tr`dsnbrl tck kfklkdt tb tck fbj`f jb-brehd`tk

systkl ̀ de saktjc tck tr`dsnbrlke kfklkdt.

:.975)  @ nbur dbeke rkjt`dmuf`r kfklkdt hs scbwd hd nhmurk. Ektkrlhdk tck nbffbwhdm? (h)

O`jbih`d L`trhx (hh) Ztr`hd Ehspf`jklkdt L`trhx  (hhh) Kfklkdt Ztrkss. U`ak K <

97*07; D/ll9, ε < 7.;.

u < Q 7 7 7.77: 7.775 7.77> 7.775 7 7\U  λ < 7, ν < 7.

@ssulk pf`dk strkss jbdehthbd.  Q@[, L`y / Oudk ‚  9709\

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  >: 

:.97;)  @ nbur dbe`f qu`erhf`tkr`f pf`dk strkss Hsbp`r`lktrhj kfklkdt hs eknhdke iy dbeks 0

(7,7), 9 (57,7), : (57, 0;) `de 5 (7,0;). Ektkrlhdk tck O`jbih`d l`trhx

jbrrkspbdehdm tb tck M`uss pbhdt (7.;==:;, 7.;==:;) nbr tck `ibvk kfklkdt. Q@[, Dbv / Ekj ‚  970:\  

:.97>)  Hd ` nbur-dbeke rkjt`dmuf`r kfklkdt, tck dbe`f ehspf`jklkdts hd ll `rk mhvkd iy

u0 < 7 u9 < 7.09= u: < 7.7>:; u5 < 7

v0 < 7 v9 < 7.7>:; v: < -7.7>:; v5 < 7

Nbr i < ;7 ll, c < 9; ll, K < 9*07;  D / ll9  `de Wbhssbd's r`thb < 7.:,

ektkrlhdk tck kfklkdt str`hds `de strkssks `t tck jkdtrbhe bn tck kfklkdt `de `t tck

jbrdkr dbeks.  Q@[, Dbv / Ekj ‚  9709\  

:.97=)  Nhde tck O`jbih`d l`trhx nbr tck dhdk-dbek rkjt`dmuf`r kfklkdt `s scbwd ikfbw.

]c`t hs tck ektkrlhd`dt bn tck O`jbih`d l`trhx2

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NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  >5 

:.973)  Ektkrlhdk tck O`jbih`d nbr tck ( x, y) ‚  (  ,  ) tr`dsnbrl`thbd nbr tck kfklkdt scbwd

 ikfbw. @fsb nhde tck ̀ rk` bn trh`dmfk ushdm ektkrlhd`dt lktcbe.

:.978)  Jblputk tck kfklkdt `de nbrjk l`trhx nbr tck nbur dbeke rkjt`dmuf`r kfklkdts `s

scbwd ikfbw.

:.907)  Uck J`rtksh`d (mfbi`f) jbbrehd`tks bn tck jbrdkr dbeks bn ` qu`erhf`tkr`f kfklkdt `rk

mhvkd iy (7,-0), (-9, :), (9, 5) `de (;, :). Nhde tck jbbrehd`tk tr`dsnbrl`thbd iktwkkd

tck mfbi`f `de fbj`f (d`tur`f) jbbrehd`tks. [shdm tchs, ektkrlhdk tck J`rtksh`d

jbbrehd`tks bn tck pbhdt eknhdke iy (r,s) < (7.;, 7.;) hd tck mfbi`f jbbrehd`tk systkl.

   Q@[, Dbv / Ekj  ‚  9778\  

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NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  >; 

:.900)  Jbdshekr ` rkjt̀ dmuf`r kfklkdt `s scbwd ikfbw. @ssulk pf`dk strkss jbdehthbd,

U q psh K  \7,7,77:9.7,77>.7,77:.7,779.7,7,7Q,:.7,07x:7

>     hdjcks Kv`fu`tk

tck O`jbih`d tr`dsnbrl`thbd (O), I l`trhx, `de  `t  < 7 `de  < 7.

:.909)  Uck J`rtksh`d (mfbi`f) jbbrehd`tks bn tck jbrdkr dbeks bn `d Hsbp`r`lktrhj

qu`erhf`tkr`f kfklkdt `rk mhvkd iy (0,7), (9,7), (9.;,0.;) `de(0.;,0). Nhde htsO`jbih`d l`trhx.  Q@[, Dbv / Ekj  ‚  9778\  

:.90:)  @ rkjt`dmuf`r kfklkdt c`s hts dbeks `t tck nbffbwhdm pbhdts hd J`rtksh`d jbbrehd`tk

systkl (7, 7), (;, 7), (;, ;), `de (7, ;). Bit`hd tck kxprksshbds nbr tck sc`pk

nudjthbds bn tck jbrrkspbdehdm Hsbp`r`lktrhj kfklkdt. [shdm tckl bit`hd tck

kfklkdts hn O`jbih`d l`trhx bn tr`dsnbrl`thbd.  Q@[, Dbv / Ekj ‚  9700\  

:.905)  Hn tck jbbrehd`tks bn tck qu`erhf`tkr`f `rk (0, 9), (07, 9), (3, >) `de (9, 07). Bit`hdtck O`jbih`d `de ckdjk, nhde tck `rk` bn tck kfklkdt.  Q@[, Dbv / Ekj ‚  9700\  

:.90;)  Ektkrlhdk tck O`jbih`d l`trhx nbr tck nbffbwhdm qu`erhf`tkr`f kfklkdt `t  x < 5.:;

ll `de y < : ll.  Q@[, @prhf / L`y ‚  9700\  

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NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  >> 

:.90>)  Jbdshekr tck qu`erhf`tkr`f kfklkdt ̀ s scbwd hd nhmurk. Kv`fu`tk  `de

 `t

(δ, ν), (7, 7) `de ( ) ushdm Hsbp`r`lktrhj nbrluf`thbd.

:.90=)  Kst`ifhsc tck str`hd  ‚   ehspf`jklkdt l`trhx nbr tck fhdk`r qu`erhf`tkr`f kfklkdt `s

scbwd hd nhmurk ikfbw `t M`uss pbhdt r  < 7.;==:; `de s < -;==:;.

 Q@[, Dbv / Ekj ‚  977=, @prhf / L`y  ‚  9778\  

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NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  >= 

:.903)  ]rhtk scbrt dbtks bd  Q@[, Dbv / Ekj ‚  9773\  

(h)  [dhqukdkss bn l`pphdm bn Hsbp`r`lktrhj kfklkdts.

(hh)  O`jbih`d l`trhx.

(hhh) M`ussh`d Pu`er`turk hdtkmr`thbd tkjcdhquk.

:.908)  Ekrhvk tck M`uss pbhdts `de wkhmcts hd j`sk bn bdk pbhdt nbrluf` `de twb pbhdt

nbrluf` bn M`uss dulkrhj`f hdtkmr`thbd.  Q@[, @prhf / L`y ‚  9700\  

:.997)  Ekrhvk tck wkhmcts `de M`uss pbhdts bn twb pbhdt nbrluf` bn M`uss qu`er`turk

rufk.  Q@[, L`y / Oudk ‚  9709\  

:.990)  Hdtkmr`tk     iktwkkd 3 `de

09. [sk M`ussh`d qu`er`turk rufk.  Q@[, @prhf / L`y ‚  9773\  

:.999)  Kv`fu`tk tck hdtkmr`f  < ∡  `de jblp`rk whtc kx`jt rksufts.

 Q@[, Dbv / Ekj ‚  9778\  

:.99:)   Dulkrhj`ffy kv`fu`tk tck nbffbwhdm hdtkmr`f `de jblp`rk whtc kx`jt bdk.

∡ ∡    Q@[, @prhf / L`y ‚ 

 9700\  

:.995)  [shdm d`tur`f jbbrehd`tks ekrhvk tck sc`pk nudjthbd nbr ` fhdk`r qu`erhf`tkr`f

kfklkdt.  Q@[, Dbv / Ekj ‚  9773\  

:.99;)  [sk M`uss qu`er`turk rufk (d<9) tb dulkrhj`ffy hdtkmr`tk  Q@[, Dbv / Ekj ‚  9773\  

∡ ∡

 

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NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  >3 

:.99>)  [sk M`ussh`d qu`er`turk rufk (d < 9) tb dulkrhj`ffy hdtkmr`tk∡ ∡    Q@[, Dbv / Ekj ‚  9709\  

:.99=)  Kv`fu`tk

 ushdm M`uss qu`er`turk nbrluf`.

 Q@[, L`y / Oudk ‚ 

 9709\  

:.993)  Kv`fu`tk tck hdtkmr`f ∡    ushdm bdk pbhdt `de twb pbhdt

M`uss qu`er`turk nbrluf`.  Q@[, @prhf / L`y ‚  9700\  

:.998)  Kv`fu`tk tck hdtkmr`f ∡  ushdm tcrkk pbhdt M`uss qu`er`turk `de

jblp`rk whtc kx`jt sbfuthbd.  Q@[, Dbv / Ekj ‚  9700\  

:.9:7)  Kv`fu`tk ∡ ∡      ushdm M`uss dulkrhj`f hdtkmr`thbd.

   Q@[, @prhf / L`y ‚  9700\  

:.9:0)  [sk M`ussh`d qu`er`turk tb bit`hd `d kx`jt v`fuk bn tck hdtkmr`f.

 Q@[, @prhf / L`y ‚  9707\  

   

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NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  >8 

[DHU  ‚  H^  ‚  EXD@LHJ @D@FXZHZ [ZHDM NHDHUK KFKLKDU LKUCBE

W@YU  ‚  @

5.0)  ]c`t hs eyd`lhj ̀ d`fyshs2 Mhvk kx`lpfks  Q@[, Dbv / Ekj ‚  9707\  

5.9)  ]c`t hs lk`d iy eyd`lhj `d`fyshs2  Q@[, Dbv / Ekj ‚  9700\  

5.:)  Fhst tck typks bn eyd`lhj `d`fyshs prbifkls.  Q@[, L`y / Oudk ‚  9709\  

5.5)  Eknhdk dbrl`f lbeks.  Q@[, L`y / Oudk ‚  970:\  

5.;)  ]c`t hs tck prhdjhpfk bn lbek supkrpbshthbd tkjcdhquk2  Q@[, Dbv / Ekj ‚  970:\  

5.>)  Zaktjc twb :E kfklkdts kxchihthdm fhdk`r str`hd ikc`vhbr.  Q@[, @prhf / L`y ‚  9700\  

5.=)  ]c`t hs tck hdnfukdjk bn kfklkdt ehstbrthbd bd tck `d`fyshs rksufts2

 Q@[, @prhf / L`y ‚  9700\  

5.3)  Ektkrlhdk tck kfklkdt l`ss l`trhx nbr bdk-ehlkdshbd`f, eyd`lhj strujtur`f `d`fyshs

 prbifkls. @ssulk tck twb-dbek, fhdk`r kfklkdt.  Q@[, Dbv / Ekj ‚  9700\  

5.8)  ]c`t `rk jbdshstkdt `de fulpke l`ss tkjcdhquks2  Q@[, Dbv / Ekj ‚  970:\  

5.07)  Zpkjhny tck jbdshstkdt l`ss l`trhx nbr ` ik`l kfklkdt.  Q@[, Dbv / Ekj ‚  970:\  

5.00)  Jbllkdt bd tck `jjur`jy bn tck v`fuks bn d`tur`f nrkqukdjhks bit`hdke iy ushdm

fulpke l`ss l`trhjks ̀ de jbdshstkdt l`ss l`trhjks.  Q@[, Dbv / Ekj ‚  9709\  

5.09)  Kxpf`hd jbdshstkdt fb`e vkjtbr.  Q@[, Dbv / Ekj ‚  9707\  

5.0:)  ]c`t eb ybu lk`d iy Fulpke l`ss l`trhx2  Q@[, L`y / Oudk ‚ 

 9700\  

5.05)  ]rhtk ebwd tck fulpke l`ss l`trhx nbr tck truss kfklkdt.  Q@[, @prhf / L`y ‚  9778\  

5.0;)  ]c`t `rk tck typks bn Khmkd v`fuk prbifkls2   Q@[, L`y / Oudk ‚  9709\  

5.0>)  ]c`t hs lk`dt iy lbek supkrpbshthbd tkjcdhquk2  Q@[, L`y / Oudk ‚  970:\  

W@YU  ‚  I

5.0=)  Ekrhvk tck kqu`thbd bn' lbthbd i`ske bd wk`a nbrl nbr tr`dsvkrsk vhir`thbd bn `

 ik`l.  Q@[, L`y / Oudk ‚  9709\  

5.03)  Ekrhvk tck mbvkrdhdm kqu`thbd nbr fbdmhtuehd`f vhir`thbd. 

5.08)  Ekrhvk tck wk`a nbrluf`thbd nbr fbdmhtuehd`f vhir`thbd. 

5.97)  Ekrhvk tck wk`a nbrluf`thbd nbr tr`dsvkrsk vhir`thbd. 

5.90)  Ekrhvk tck kfklkdt kqu`thbd nbr fbdmhtuehd`f nrkk vhir`thbd. 

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NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  =7 

5.99)  Ekrhvk tck kfklkdt kqu`thbd nbr tr`dsvkrsk nrkk vhir`thbd. 

5.9:)  Ekrhvk tck jbdshstkdt l`ss l`trhx nbr i`r kfklkdt 

5.95)  Ekrhvk tck jbdshstkdt l`ss l`trhx nbr truss kfklkdt 

5.9;)  Ekrhvk tck jbdshstkdt l`ss l`trhx nbr JZU kfklkdt 

5.9>)  Kxpf`hd tck ehrkjt hdtkmr`thbd lktcbe ushdm jkdtr`f ehnnkrkdjk sjcklk nbr prkehjthdm

tck tr`dshkdt eyd`lhj rkspbdsk bn ` strujturk.  Q@[, Dbv / Ekj ‚  970:\  

5.9=)  Ekrhvk tck jbdshstkdt l`ss l`trhx nbr ` truss kfklkdt hd hts fbj`f jbbrehd`tk systkl.

 Q@[, Dbv / Ekj ‚  9709\  

5.93)  Ekrhvk tck nhdhtk kqu`thbds nbr tck thlk ‚  ekpkdekdt strkss ̀ d`fyshs bn bdk ehlkdshbd`f

 i`r.  Q@[, L`y / Oudk  ‚  9700\  

5.98)  Nhde tck d`tur`f nrkqukdjhks bn tr`dsvkrsk vhir`thbds bn tck j`dthfkvkr ik`l scbwd hd

Nhmurk ushdm bdk ik`l kfklkdt.  Q@[, Dbv / Ekj ‚ 

 9709\  

5.:7)  Jbdshekr ` udhnbrl jrbss ‚  skjthbd i`r `s scbwd hd nhmurk bn fkdmtc ‖F“ l`ek up bn `

l`tkrh`f wcbsk Xbudm‘s lbeufus `de ekdshty `rk mhvkd iy K `de π. Ksthl`tk tck

d`tur`f nrkqukdjhks bn `xh`f vhir`thbd bn tck i`r ushdm ibtc fulpke `de jbdshstkdt

l`ss l`trhx.  Q@[, L`y / Oudk  ‚  977;\  

5.:0)  Ektkrlhdk tck d`tur`f nrkqukdjhks `de lbek sc`pks bn tr`dsvkrsk vhir`thbd nbr ` ik`l

nhxke `t ibtc kdes. Uck ik`l l`y ik lbekffke iy twb kfklkdts, k`jc bn fkdmtc F `de

jrbss-skjthbd`f ̀ rk` @. Jbdshekr fulpke l`ss l`trhx ̀ pprb`jc.

 Q@[, @prhf / L`y ‚  9700\  

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NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  =0 

5.:9)  [shdm twb kqu`f-fkdmtc nhdhtk kfklkdts, ektkrlhdk tck d`tur`f nrkqukdjhks bn tck sbfhe

jhrjuf`r sc`nt nhxke `t bdk kde scbwd hd nhmurk.  Q@[, Dbv / Ekj ‚  9700\  

5.::)  Bit`hd tck d`tur`f nrkqukdjhks bn vhir`thbd nbr ` stkppke stkkf i`r bn `rk` >9;ll9 nbr

tck fkdmtc bn 9;7ll `de :09.;ll9 nbr tck fkdmtc bn 09;ll. Uck kfklkdt hs nhxke `t

f`rmkr kde  Q@[, Dbv / Ekj ‚  977=\  

5.:5)  Ektkrlhdk tck Khmkd v`fuks `de nrkqukdjhks nbr tck stkppke i`r scbwd hd tck nhmurk.

U`ak K < 97 * 0707 D/l9 `de skfn-wkhmct < 3;77 am.l:   Q@[, L`y / Oudk  ‚  977;\  

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NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  =9 

5.:;)  Nhde tck d`tur`f nrkqukdjy bn fbdmhtuehd`f vhir`thbd bn tck udjbdstr`hdke stkppke i`r

`s scbwd hd nhmurk.  Q@[, Dbv / Ekj ‚  977>\  

5.:>)  Jblputk l`tkrh`f nrkqukdjhks bn nrkk tr`dsvkrsk vhir`thbd bn ` stkppke ik`l scbwd hd

nhmurk.  Q@[, L`y / Oudk ‚ 

 977:\  

5.:=)  Ektkrlhdk tck d`tur`f nrkqukdjhks bn tr`dsvkrsk vhir`thbd nbr ` ik`l nhxke `t ibtc

kdes. Uck ik`l l`y ik lbekffke iy twb kfklkdts k`jc bn fkdmtc F `de jrbss  ‚  

skjthbd`f `rk` @. Uck usk bn syllktry ibude`ry jbdehthbd hs bpthbd`f.

 Q@[, L`y / Oudk  ‚  9773\  

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  =: 

5.:3)  Ektkrlhdk tck d`tur`f nrkqukdjhks `de lbek sc`pks bn ` systkl wcbsk sthnndkss `de

l`ss l`trhjks `rk mhvkd ikfbw  Q@[, L`y / Oudk  ‚  9773\          5.:8)  @ vkrthj`f pf`tk bn tchjadkss 57 ll hs t`pkrke whtc whetcs bn 7.0;l `de 7.7=;l `t

tbp `de ibttbl kdes rkspkjthvkfy. Uck pf`tk hs nhxke `t tck tbp kde. Uck fkdmtc bn tck

 pf`tk hs 7.3l. U`ak Xbudm's lbeufus `s 977 MW` `de ekdshty `s =377 am/l:. Lbekf

tck pf`tk whtc twb sp`r kfklkdts. Ektkrlhdk tck d`tur`f nrkqukdjhks bn fbdmhtuehd`f

vhir`thbd `de tck lbek sc`pks.  Q@[, Dbv / Ekj ‚  970:\  

5.57)  Nhde tck rkspbdsk bn tck systkl mhvkd ikfbw ushdm lbe`f supkrpbshthbd lktcbe.

 Q@[, @prhf / L`y ‚  9700\  

5.50)  Ektkrlhdk tck d`tur`f nrkqukdjhks nbr tck truss scbwd hd nhmurk ushdm nhdhtk kfklkdt

lktcbe.  Q@[, L`y / Oudk  ‚  977=\  

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  =5 

5.59)  Nhde tck d`tur`f nrkqukdjhks bn vhir`thbd bn twb kfklkdt shlpfy suppbrtke ik`l iy

t`ahdm `ev`dt`mk bn tck syllktry `ibut tck lhe-pbhdt  Q@[, L`y / Oudk  ‚  977=\  

5.5:)  Nbrluf`tk tck l`ss l`trhx nbr twb-ehlkdshbd`f rkjt`dmuf`r kfklkdt ekphjtke hd

nhmurk. Uck kfklkdt c`s udhnbrl tchjadkss ; ll `de ekdshty π < =.3: * 07->am/ll:.

 Q@[, Dbv / Ekj ‚  9700\  

5.55)  Jbdshekr tck ude`lpke 9 ekmrkk bn nrkkebl systkl `s scbwd hd nhmurk. Nhde tck

rkspbdsk bn tck systkl wckd tck nhrst l`ss `fbdk hs mhvkd `d hdhth`f ehspf`jklkdt bn

udhty `de rk`fhske nrbl rkst.

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  =; 

Uck l`tckl`thj`f rkprkskdt`thbd bn tck systkl nbr nrkk, C`rlbdhj vhir`thbd hs mhvkd

 iy  Q@[, L`y / Oudk ‚  9709\

5.5;)  J`fjuf`tk tck jbdshstkdt `de fulpke fb`e vkjtbr nbr tck kfklkdt scbwd hd nhmurk.

 Q@[, Dbv / Ekj ‚  9707\  

5.5>)  Jbdshekr ` udhnbrl jrbss skjthbd i`r, `s scbwd hd nhmurk bn fkdmtc F l`ek up bn

l`tkrh`f wcbsk ybudm's lbeufus `de ekdshty hs mhvkd iy K `de π .  Ksthl`tk tck

d`tur`f nrkqukdjhks bn `xh`f vhir`thbd bn tck i`r ushdm ibtc jbdshstkdt `de fulpke

l`ss l`trhjks.  Q@[, L`y / Oudk ‚  970:\  

5.5=)  Ektkrlhdk tck Khmkd v`fuks `de Khmkd vkjtbrs nbr tck stkppke i`r `s scbwd hd nhmurk.

 Q@[, L`y / Oudk ‚ 

 9700\  

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  => 

5.53)  Nhde tck Khmkd v`fuks `de Khmkd vkjtbrs bn tck l`trhx. 

Q

5.58)  Nhde tck Khmkd v`fuks `de Khmkd vkjtbrs bn tck l`trhx. 

Q \ 

5.;7)  [sk htkr`thvk prbjkeurks tb ektkrlhdk tck nhrst `de tchre Khmkd v`fuks nbr tck strujturk

scbwd hd nhmurk. Ckdjk ektkrlhdk tck skjbde Khmkd v`fuk `de tck d`tur`f nrkqukdjhks

bn iuhfehdm. Nhd`ffy, kst`ifhsc tck Khmkd vkjtbrs `de jckja tck rkst iy `ppfyhdm tck

brtcbmbd`fhty prbpkrthks bn Khmkd vkjtbrs.  Q@[, L`y / Oudk ‚  970:\  

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  == 

[DHU  ‚  ^  ‚  @WWFHJ@UHBDZ HD CK@U UY@DZNKY & NF[HE

LKJC@DHJZ

W@YU  ‚  @

;.0)  ]rhtk ebwd tck bdk ehlkdshbd`f ck`t jbdeujthbd kqu`thbd.  Q@[, @prhf / L`y ‚  9700\  

;.9)  Ehsthdmuhsc iktwkkd cblbmkdbus ̀ de dbd ‚  cblbmkdbus ibude`ry jbdehthbds. Q@[, Dbv / Ekj ‚  970:\  

;.:)  ]rhtk ebwd tck kxprksshbd bn sc`pk nudjthbd `de tklpkr`turk nudjthbd nbr bdk

ehlkdshbd`f ck`t jbdeujthbd.  Q@[, L`y / Oudk  ‚  9700\  

;.5)  ]rhtk ebwd tck mbvkrdhdm ehnnkrkdth`f kqu`thbd nbr tck stk`ey st`tk bdk ehlkdshbd`f

jbdeujthbd ck`t tr`dsnkr.  Q@[, Dbv / Ekj ‚  9707, 9709\  

;.;)  ]rhtk ebwd tck mbvkrdhdm ehnnkrkdth`f kqu`thbd nbr ` twb ehlkdshbd`f stk`ey-st`tk

ck`t tr`dsnkr prbifkl.  Q@[, Dbv / Ekj ‚  9778\  

;.>)  ]rhtk ebwd tck sthnndkss l`trhx kqu`thbd nbr bdk ehlkdshbd`f ck`t jbdeujthbd

kfklkdt.  Q@[, Dbv / Ekj ‚  9700\  

;.=)  Zaktjc ` twb ehlkdshbd`f ehnnkrkdth`f jbdtrbf kfklkdt nbr ck`t tr`dsnkr `de bit`hd tck

ck`t ehnnushbd kqu`thbd.  Q@[, Dbv / Ekj ‚  9709\  

;.3)  Eknhdk kfklkdt j`p`jht`djk l`trhx nbr udstk`ey st`tk ck`t tr`dsnkr prbifkls.

 Q@[, L`y / Oudk ‚  970:\  

;.8)   D`lk ` nkw ibude`ry jbdehthbds hdvbfvke hd `dy ck`t tr`dsnkr `d`fyshs.

 Q@[, @prhf / L`y ‚  9707\  

;.07)  Lkdthbd twb d`tur`f ibude`ry jbdehthbds `s `ppfhke tb tckrl`f prbifkls.

 Q@[, @prhf / L`y ‚  9700\  

;.00)  Jbdshekr ` w`ff bn ` t`da jbdt`hdhdm ` cbt fhquhe `t ` tklpkr`turk U7  whtc `d `hr

strk`l bn tklpkr`turk Ux p`sske bd tck butshek, l`hdt`hdhdm ` w`ff tklpkr`turk bn UF 

`t tck ibude`ry. Zpkjhny tck ibude`ry jbdehthbds.  Q@[, @prhf / L`y ‚  9778\  

;.09)  Eknhdk st`thj jbdekds`thbd.  Q@[, Dbv / Ekj ‚  9707\  

;.0:)  Mhvk tck mbvkrdhdm kqu`thbd bn tbrshbd prbifkl.  Q@[, L`y / Oudk ‚  9709\  

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  =3 

;.05)  ]rhtk tck stkp iy stkp prbjkeurk bn sbfvhdm ` tbrshbd prbifkl iy nhdhtk kfklkdt

lktcbe.  Q@[, @prhf / L`y ‚  9700\  

;.0;)  Butfhdk tck stkp iy stkp prbjkeurk bn c`defhdm tbrshbd prbifkl ushdm tck nhdhtk

kfklkdt lktcbe.  Q@[, L`y / Oudk ‚  9709\  

;.0>)  Eknhdk strk`lfhdk.  Q@[, L`y / Oudk ‚ 

 9709\  

;.0=)  Eknhdk tck strk`l nudjthbd nbr ̀ bdk-ehlkdshbd`f hdjblprksshifk nfbw.

 Q@[, @prhf / L`y ‚  9700\  

;.03)  Fhst tck `ppfhj`thbds bn tck pbtkdth`f nfbw.  Q@[, Dbv / Ekj ‚  9700\  

;.08)  Fhst tck lktcbe bn eksjrhihdm tck lbthbd bn nfuhe.  Q@[, L`y / Oudk ‚  9709\  

;.97)  Zt`tk tck rkf`thbd iktwkkd tck vkfbjhty bn nfuhe nfbw `de tck cyer`ufhj mr`ehkdt

`jjbrehdm tb E`rjy's f`w, kxpf`hdhdm tck tkrls hdvbfvke.  Q@[, Dbv / Ekj ‚  9709\  

;.90)  Eknhdk tck strk`l nudjthbd nbr ` bdk ehlkdshbd`f hdjblprksshifk nfbw.

 Q@[, Dbv / Ekj ‚  970:\  

;.99)  Eknhdk tck strk`l nudjthbd nbr ` twb ehlkdshbd`f hdjblprksshifk nfbw.

 Q@[, L`y / Oudk ‚  970:\  

W`rt  ‚  I

;.9:)  ]rhtk tck l`tckl`thj`f nbrluf`thbd nbr ` stk`ey st`tk ck`t tr`dsnkr jbdeujthbd

 prbifkl `de ekrhvk tck sthnndkss `de nbrjk l`trhjks nbr tck s`lk.

 Q@[, Dbv / Ekj ‚  9773\  

;.95)  Jbdshekr ` pf`dk w`ff whtc udhnbrlfy ehstrhiutke ck`t sburjk. Bit`hd tck nhdhtk

kfklkdt nbrluf`thbd nbr tck `ibvk j`sk i`ske bd tck st`thbd`rhty bn ` nudjthbd`f.

 Q@[, Dbv / Ekj ‚  970:\  

;.9;)  Ekrhvk ` nhdhtk kfklkdt kqu`thbd nbr bdk ehlkdshbd`f ck`t jbdeujthbd whtc nrkk kde

jbdvkjthbd.  Q@[, L`y / Oudk ‚  970:\  

;.9>)  Uck tklpkr`turk `t tck nbur jbrdkrs bn ` nbur  ‚  dbeke rkjt`dmfk `rk U0, U9 U: `de U5.

Ektkrlhdk tck jbdshstkdt fb`e vkjtbr nbr ` 9-E `d`fyshs, `hlke tb ektkrlhdk tck

tckrl`f strkssks.  Q@[, Dbv / Ekj ‚  977=, @prhf / L`y  ‚  9778\  

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  =8 

;.9=)  Ekrhvk tck sthnndkss l`trhx `de fb`e vkjtbrs nbr nfuhe lkjc`dhjs hd twb ehlkdshbd`f

nhdhtk kfklkdt.  Q@[, L`y / Oudk ‚  9709\  

;.93)  Mhvk tck bdk-ehlkdshbd`f nbrluf`thbd nbr bdk-ehlkdshbd`f nfbw `de ekrhvk tck

kfklkdt sthnndkss l`trhx nbr tck nfbw tcrbumc ` pbrbus lkehul.

 Q@[, Dbv / Ekj ‚ 

 9709\  

;.98)  Hd tck nhdhtk kfklkdt `d`fyshs bn ` twb ehlkdshbd`f nfbw ushdm trh`dmuf`r kfklkdts, tck

vkfbjhty jblpbdkdts u `de v `rk `ssulke tb v`ry fhdk`rfy whtchd `d kfklkdt (k) `s

u(x ,y) < `0[h(k)

 + `9[ o(k)

 + `:[a (k)

v(x ,y) < `0^h(k)

 + `9  ̂o(k)

 + `:^a (k)

 

wckrk ([h(k) , ^h

(k)) ekdbtk tck v`fuks bn (u, v ) `t dbek h. Nhde tck rkf`thbdschp iktwkkd

([h(k) , ^h

(k)............. ^a 

(k))wchjc hs tb ik s`thsnhke nbr tck nfbw tb ik hdjblprksshifk.

 Q@[, L`y / Oudk ‚  970:\  

;.:7)  Ekvkfbp sthnndkss jbknnhjhkdts euk tb tbrshbd nbr ` tcrkk ehlkdshbd`f ik`l kfklkdt.

 Q@[, @prhf / L`y ‚  9778\  

;.:0)  Kst`ifhsc tck nhdhtk kfklkdt kqu`thbds hdjfuehdm nbrjk l`trhjks nbr tck `d`fyshs bn twb

ehlkdshbd`f stk`ey  ‚   st`tk nfuhe nfbws tcrbumc ` pbrbus lkehul ushdm trh`dmuf`rkfklkdt.  Q@[, Dbv / Ekj ‚  970:\  

;.:9)  Kxpf`hd tck pbtkdth`f nudjthbd nbrluf`thbd bn nhdhtk kfklkdt kqu`thbds nbr hek`f nfbw

 prbifkls.  Q@[, L`y / Oudk ‚  970:\  

;.::)  Nhde tck tklpkr`turk `t ` pbhdt  W (0,0.;) hdshek tck trh`dmuf`r kfklkdt scbwd whtc tck

dbe`f tklpkr`turks mhvkd `s U 0 < 577J, U  O < :57J , `de U  A  < 5>7J . @fsb ektkrlhdk tck

fbj`thbd bn tck 59

7

J  jbdtbur fhdk nbr tck trh`dmuf`r kfklkdt scbwd hd nhmurk ikfbw. Q@[, @prhf / L`y - 9773\  

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  37 

;.:5)  Bit`hd tck nhdhtk kfklkdt kqu`thbds nbr tck nbffbwhdm kfklkdt. Uck tckrl`f

jbdeujthvhty (a) bn tck l`tkrh`f bn tck kfklkdt hs 9 ]/ lA. Uck jbdvkjthvk ck`t

tr`dsnkr jbknnhjhkdt (c) hs : ]/l9A. Uck `lihkdt tklpkr`turk (Un ) hs 9;˟ J. Uck

tchjadkss (t) bn tck l`tkrh`f hs 0ll. @ssulk jbdvkjthbd `fbdm tck kemk –oa‘ `fbdk. 

 Q@[, @prhf / L`y - 9700\  

;.:;)  Jblputk tck kfklkdt`f strkss vkjtbrs nbr tck nbffbwhdm kfklkdt, `ssulhdm pf`dk strkss

jbdehthbds. Uck dbe`f ehspf`jklkdts hd –ll‘ Qq\ < Q7 0 0 7 0 0\U. Uck

tklpkr`turk hdjrk`sk hd tck kfklkdt hs ;˟J. U`ak K < 977 MW` `de » < 7.:. Uck

tckrl`f jbknnhjhkdt bn kxp`dshbd hs 00 * 07->

  /˟J. Uck tchjadkss bn tck l`tkrh`f hs 0ll.  Q@[, @prhf / L`y - 9700\  

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  30 

;.:>)  J`fjuf`tk tck kfklkdt sthnndkss l`trhx `de tck tckrl`f nbrjk vkjtbr nbr tck

`xhsyllktrhj trh`dmuf`r kfklkdt `s scbwd ikfbw. Uck kfklkdt kxpkrhkdjks ` 0;7 J

hdjrk`sk hd tklpkr`turk. U`ak  < 07 x 07-> / 7J, K < 9 x 07;  D/ll9  `de < 7.9;

;.:=)  Ektkrlhdk tck tklpkr`turk `de ck`t nfuxks `t ` fbj`thbd (9, 0) hd ` squ`rk pf`tk `s

scbwd hd nhmurk. Er`w tck hsbtckrl`f nbr 09;·J. U0  < 077·J, U9  < 0;7·J, U:  <

977·J, U5 < ;7·J  Q@[, Dbv / Ekj ‚  9707\  

;.:3)  Jbdshekr ` irhja w`ff bn tchjadkss 7.: l, a < 7.= ]/l˟J. Uck hddkr surn`jk hs `t 93˟J

`de tck butkr surn`jk hs kxpbske tb jbfe `hr `t -0;˟J. Uck ck`t tr`dsnkr jbknnhjhkdt

`ssbjh`tke whtc tck butshek surn`jk hs 57 ]/l9˟J. Ektkrlhdk tck stk`ey st`tk

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  39 

tklpkr`turk ehstrhiuthbd whtchd tck w`ff `de `fsb tck ck`t nfux tcrbumc tck w`ff.  [sk

twb 0E kfklkdts `de bit`hd tck sbfuthbd.  Q@[, Dbv / Ekj ‚  970:\  

;.:8)  Jbdshekr ` irhja w`ff `s scbwd hd nhmurk bn tchjadkss F < :7jl, A < 7.= ]/l˟J. Uck

hddkr surn`jk hs `t 93˟J `de tck butkr surn`jk hs kxpbske tb jbfe `hr `t -0;˟J. Uck ck`t

tr`dsnkr jbknnhjhkdt `ssbjh`tke whtc tck butshek surn`jk hs c < 57 ]/l

9

˟J. Ektkrlhdktck stk`ey st`tk tklpkr`turk ehstrhiuthbd whtchd tck w`ff `de `fsb tck ck`t nfux tcrbumc

tck w`ff. [sk ` twb kfklkdt lbekf. @ssulk bdk ehlkdshbd`f nfbw.

 Q@[, @prhf / L`y ‚  9700\  

;.57)  @ jblpbshtk w`ff jbdshsts bn tcrkk l`tkrh`fs `s scbwd hd nhmurk. Uck butkr

tklpkr`turk hs U7 < 97˟J. Jbdvkjthbd ck`t tr`dsnkr t`aks pf`jk bd tck hddkr surn`jk bn

tck w`ff whtc U∔ < 377˟J `de c < 9;]/l9˟J. Ektkrlhdk tck tklpkr`turk ehstrhiuthbd

hd tck w`ff.  Q@[, L`y / Oudk  ‚  9700\  

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  3: 

;.50)  @ jblpbshtk w`ff hs l`ek bn tcrkk ehnnkrkdt l`tkrh`fs. Uck tckrl`f jbdeujthvhty bn tck

v`rhbus skjthbds `rk a 0 < 9 ]/jl ˟J, a 9 < 0 ]/jl ˟ J, a : < 7.9 < ]/jl ˟J. Uck

tchjadkss bn tck w`ff nbr tck skjthbd hs 0jl, ;jl `de 5jl rkspkjthvkfy. Ektkrlhdk tck

tklpkr`turk v`fuks bn dbe`f pbhdts whtchd tck w`ff. @ssulk tck surn`jk `rk` tb udhty.

Uck fknt kemk bn tck w`ff hs suiokjtke tb ` tklpkr`turk bn :7˟J `de tck rhmct shek bn tckw`ff hs `t 07˟J.  Q@[, Dbv / Ekj ‚  9700\  

;.59)  Nhmurk scbws ` s`dewhjcke jblpbshtk w`ff. Jbdvkjthbd ck`t fbss bjjurs bd tck fknt

surn`jk `de tck tklpkr`turk bd tck rhmct surn`jk hs jbdst`dt. Jbdshekrhdm ` udht `rk`

`de whtc tck p`r`lktkrs mhvkd, usk tcrkk fhdk`r kfklkdts (bdk nbr k`jc f`ykr) `de

(h) Ektkrlhdk tck tklpkr`turk ehstrhiuthbd tcrbumc tck jblpbshtk w`ff `de

(hh) J`fjuf`tk tck nfux bd tck rhmct surn`jk bn tck w`ff.  Q@[, Dbv / Ekj ‚ 

 9709\

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  35 

;.5:)  @ w`ff bn 7.>l tchjadkss c`vhdm tckrl`f jbdeujthvhty bn 0.9 ]/l-A tck w`ff hs tb ikhdsuf`tke whtc ` l`tkrh`f bn tchjadkss 7.7> l c`vhdm `d `vkr`mk tckrl`f jbdeujthvhty

bn 7.: ]/l-A. Uck hddkr surn`jk tklp hs 0777˟J `de butshek bn tck hdsuf`thbd hs

kxpbske tb `tlbspckrhj `hr `t :7˟J whtc ck`t tr`dsnkr jb-knnhjhkdt bn :; D/l9  A.

J`fjuf`tk tck dbe`f tklpkr`turk ushdm NK@.  Q@[, Dbv / Ekj ‚  9700\  

;.55)  @ fbdm i`r bn rkjt`dmuf`r jrbss skjthbd c`vhdm tckrl`f jbdeujthvhty bn 0.; ]/l ˟J hs

suiokjtke tb tck ibude`ry jbdehthbd `s scbwd ikfbw. Uwb bppbshtk sheks `rkl`hdt`hdke `t udhnbrl tklpkr`turk bn 037 7J. Bdk shek hs hdsuf`tke `de tck rkl`hdhdm

shek hs suiokjtke tb ` jbdvkjthbd prbjkss whtc U    < 3;˟J `de c  < ;7 ]/l9˟

J.

Ektkrlhdk tck tklpkr`turk ehstrhiuthbd hd tck i`r.

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  3; 

;.5;)  Uck pf`dk w`ff scbwd ikfbw hs 7.; l tchja. Uck fknt surn`jk bn tck w`ff hs l`hdt`hdke

`t ` jbdst`dt tklpkr`turk bn 9777J `de tck rhmct surn`jk hs hdsuf t̀ke. Uck tckrl`f

jbdeujthvhty A < 9; ]/L bJ  `de tckrk hs ` udhnbrl ck`t mkdkr`thbd hdshek tck w`ff

bn P < 577 ]/l:. Ektkrlhdk tck tklpkr`turk ehstrhiuthbd tcrbumc tck w`ff tchjadkss

ushdm fhdk`r kfklkdts.

;.5>)  Ektkrlhdk tcrkk pbhdts bd tck ;7b J  jbdtbur fhdk nbr tck rkjt`dmuf`r kfklkdt scbwd hd

tck nhmurk. Uck dbe`f v`fuks `rk h< 59b J ,  o<;5b J , a < ;>b J  `de l< 5>b J .

;.5=)  Jblputk tck stk`ey st`tk tklpkr`turk ehstrhiuthbd nbr tck pf`tk scbwd hd tck nhmurk

 ikfbw. @ jbdst`dt tklpkr`turk bn U7 < 0;77 J hs l`hdt`hdke `fbdm tck kemk y < w `de

`ff btckr kemks c`vk zkrb tklpkr`turk. Uck tckrl`f jbdeujthvhthks `rk A x < A y < 0.

@ssulk w < F < 0 `de tchjadkss t < 0.

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  3> 

;.53)  @ stkkf rbe bn eh`lktkr e < 9 jl, fkdmtc f <; jl `de tckrl`f jbdeujthvhty A < ;7

]/l˟J hs kxpbske `t bdk kde tb ` jbdst`dt tklpkr`turk bn :97˟J. Uck btckr kde hs hd

`lihkdt `hr bn tklpkr`turk 97˟J whtc ` jbdvkjthbd jb-knnhjhkdt bn c < 077 ]/l9˟J.

Ektkrlhdk tck tklpkr`turk `t tck lhepbhdt bn tck rbe ushdm NK@.

 Q@[, Dbv / Ekj ‚  9700\  

;.58)  Ektkrlhdk tck tklpkr`turk ehstrhiuthbd hd bdk ehlkdshbd`f rkjt`dmuf`r jrbss-skjthbd

`s scbwd hd Nhmurk. Uck nhd c`s rkjt`dmuf`r jrbss-skjthbd `de hs 3jl fbdm 5jl whek

`de 0jl tchja. @ssulk tc`t jbdvkjthbd ck`t fbss bjjurs nrbl tck kde bn tck nhd. U`ak

c < :] / jl˟J, c < 7.0 ] / jl9˟ J,U ∔ < 97˟J.  Q@[, @prhf / L`y ‚  9700\  

;.;7)  J`fjuf`tk tck tklpkr`turk ehstrhiuthbd hd st`hdfkss stkkf nhd scbwd hd nhmurk. Uck

rkmhbd j`d ik ehsjrkthzke hdtb nhvk kfklkdts `de shx dbeks. Q@[, @prhf / L`y ‚ 

 9778\  

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  3= 

;.;0)  J`fjuf`tk tck kfklkdt sthnndkss l`trhx `de tckrl`f nbrjk vkjtbr nbr tck pf`dk strkss

kfklkdt scbwd hd nhmurk ikfbw. Uck kfklkdt kxpkrhkdjks ` rhsk bn 077J.

 Q@[, @prhf / L`y - 9773\ 

 

;.;9)  J`fjuf`tk tck tklpkr`turk `t tck pbhdt nbr ` tcrkk dbeke trh`dmuf`r kfklkdt `s scbwd

hd nhmurk. Uck dbe`f v`fuks `rk U0 < 57˟J, U9 < :5˟J `de U: < 5>˟J. Wbhdt @ hs

fbj`tke `t (9, 0.;). @ssulk tck tklpkr`turk hs fhdk`rfy v`ryhdm hd tck kfklkdt. @fsb

ektkrlhdk tck fbj`thbd bn 59˟J jbdtbur fhdk.  Q@[, L`y / Oudk  ‚  9700\  

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  33 

;.;:)  Ektkrlhdk tck kfklkdt sthnndkss l`trhx `de tck tckrl`f fb`e vkjtbr nbr tck pf`dk strkss

kfklkdt scbwd hd nhmurk. Uck kfklkdt kxpkrhkdjks 97bJ  hdjrk`sk hd tklpkr`turk. U`ak

K < 0;k> D/jl9,  < 7.9;, t  < 7.; jl `de ` < >k - >/b J .  Q@[, @prhf / L`y - 9707\  

;.;5)  Uck trh`dmuf`r kfklkdt scbwd hd nhmurk hs suiokjtke tb ` jbdst`dt prkssurk 07 D/ll9 

`fbdm tck kemk ho. @ssulk K  < 977 Mp`, Wbhssbd‘s r`thb   < 7.: `de tchjadkss bn tck

kfklkdt < 9 ll. Uck jbknnhjhkdt bn tckrl`f kxp`dshbd bn tck l`tkrh`f  < 9

x07->/ bJ  `de U  < ;7b J . Ektkrlhdk tck jbdsthtuthvk l`trhx (strkss-str`hd rkf`thbdschp

l`trhx E) `de tck dbe`f nbrjk vkjtbr nbr tck kfklkdt.  Q@[, Dbv / Ekj - 9778\  

;.;;)  Jblputk tck kfklkdt sthnndkss l`trhx `de vkjtbrs nbr tck kfklkdt scbwd hd nhmurk

wckd tck kemk 9 ‚  : `de : ‚  0 kxpkrhkdjk ck`t fbss.  Q@[, L`y / Oudk ‚  9709\  

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  38 

;.;>)  Jblputk tck kfklkdt l`trhjks `de vkjtbrs nbr tck kfklkdt scbwd ikfbw, wckd tck

kemks oa  `de ha  kxpkrhkdjk jbdvkjthbd ck`t fbss.

;.;=)  Jblputk kfklkdt l`trhjks `de vkjtbrs nbr tck kfklkdts scbwd hd nhmurk wckd tck

kemk ao kxpkrhkdjks jbdvkjthbd ck`t fbss.  Q@[, Dbv / Ekj ‚  9778\  

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Y.L.A JBFFKMK BN KDMM @DE UKJC / @P / Y9773/ LK9:;: / ^H / LKJC / EKJ 970:  ‚  L@X 9705 

NHDHUK KFKLKDU @D@FXZHZ P[KZUHBD I@DA iy @ZCBA A[[email protected] (@W / Lkjc)  87 

;.;3)  Nbr tck slbbtc phpk bn v`rh`ifk jrbss-skjthbd `s scbwd hd Nhmurk. Ektkrlhdk tck

 pbtkdth`fs `t tck oudjthbds, tck vkfbjhthks hd k`jc phpk. Uck pbtkdth`fs `t tck fknt kde hs

07 l `de tc`t `t tck rhmct kde hs 9l.Uck pkrlk`ihfhty jbknnhjhkdt hs 0 l/skj.

 Q@[, @prhf / L`y ‚  9700\  

;.;8)  Nbr tck twb ehlkdshbd`f s`dey sbhf rkmhbd `s scbwd hd nhmurk. Ektkrlhdk tck pbtkdth`f

ehstrhiuthbd. Uck pbtkdth f̀ (nfuhe ck`e) bd tck fknt shek hs 07l `de bd rhmct c`de shek hs

7. Uck uppkr `de fbwkr kemks `rk hlpkrlk`ifk A  xx < 9;*07-; l/s `de A  yy < 9;*07-; 

l/s. @ssulk udht tchjadkss.

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EJ F ~ F @ ~BY?. Y k -

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  G @ A V f ^ V ' t 1 . ~ ~ - ~ - a [ t F F -*9-/ - jFs (- r w -

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  G < 9 ( B S.

w J<4

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  <

FH *.J̀ d - ` x d ~ `& O2

t i ~ t ~ t ` ~ p b t ` L t h ` f ^ C -

-

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995 `9 d : z G:

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FnO `z Fb-

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95: Krd

D[W b k l8 UBDj c o o ~ r < 

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rk-4 / s d ?̀ ? st̀ ,Rf

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`u R  -

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  U:

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FH-- Nm ZW&4 ~ W v.... <Uh222-

%<

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EKW@YULKDU BN LKJC@DHJ@F KDMHDKKYHDM LK9:;: ‚ NK@ 

NHDHUK KFKLKDU @D@FXZHZ NBYL[F@ IBBA IX @ZCBA A[L@Y .Y (@W / LKJC) 0 

LK9:;: NHDHUK KFKLKDU @D@FXZHZ

NBYL[F@ IBBA

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EKW@YULKDU BN LKJC@DHJ@F KDMHDKKYHDM LK9:;: ‚ NK@ 

NHDHUK KFKLKDU @D@FXZHZ NBYL[F@ IBBA IX @ZCBA A[L@Y .Y (@W / LKJC) 9 

]KHMCUKE YKZHE[@F LKUCBEZ?

Mkdkr`f Urh`f nudjthbd?  

Zuisthtutk tck trh`f nudjthbd hd ehnnkrkdth`f kqu`thbd tb mkt tck rksheuk nudjthbd.

Wbhdt Jbffbj`thbd Lktcbe?

 

Y( x) Yksheuk nudjthbdCkrk tck pbhdt bn x hs iktwkkd tcksk fhlhts. Hn tck fhlht hs 7 tb 0

Nbr twb udadbwds `dy twb pbhdt iktwkkd tcksk fhlhts. Nbr kx`lpfk

 x v`fuk hs   x v`fuk hs

 

Nbr tcrkk udadbwds `dy twb pbhdt iktwkkd tcksk fhlhts. Nbr kx`lpfk

 x v`fuk hs

   x v`fuk hs

   x v`fuk hs

 

Zui Ebl`hd Lktcbe?

 

Ckrk tck fhlht scbufe ik t`akd hdtb twb hdtkrv`fs. Hn tck fhlht hs 7 tb 0

Uck fhlht v`rhks iktwkkd 7 ‚  7.;

   

Uck fhlht v`rhks iktwkkd 7.; ‚  0 ∡    

Fk`st Zqu`rk Lktcbe? 

 Ehnnkrkdth`tk tck Y( x) whtc rkspkjt tb `0, `9 

M`fkrahd Lktcbe?

 

[DHU H  ‚  NHDHUK KFKLKDU NBYL[F@UHBD BN IB[DE@YX

^@F[K WYBIFKLZ

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EKW@YULKDU BN LKJC@DHJ@F KDMHDKKYHDM LK9:;: ‚ NK@ 

NHDHUK KFKLKDU @D@FXZHZ NBYL[F@ IBBA IX @ZCBA A[L@Y .Y (@W / LKJC) : 

  ]khmcthdm nudjthbd (Nudjthbd `ssbjh`tke whtc udadbwd

trh`f nudjthbd)  Y@XFKHMC  ‚  YHU_ LKUCBE?

Nbr Ik`l tck Nburhkr skrhks kqu`thbd

 

 

 Nbr J`dthfkvkr I`r (@xh`f Fb`ehdm)   

]ckrk `0 `9 & `: `rk Yhtz p`r`lktkrs

Uck Ubt`f Wbtkdth`f Kdkrmy bn tck Ik`l?  

[ Ztr`hd Kdkrmy

C ]bra Ebdk iy Kxtkrd`f Nbrjk

Ztr`hd Kdkrmy nbr Ur`dsvkrsk Fb`ehdm?

 

 

Ztr`hd Kdkrmy nbr @xh`f Fb`ehdm?

  ()  

 ]bra Ebdk iy Kxtkrd`f Nbrjk? ∡   Nbr ZZI whtc [EF tcrbumcbut hts fkdmtc

  Nbr ZZI whtc Wbhdt Fb`e `t hts lhe ‚  pbhdt bn fkdmtc

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EKW@YULKDU BN LKJC@DHJ@F KDMHDKKYHDM LK9:;: ‚ NK@ 

NHDHUK KFKLKDU @D@FXZHZ NBYL[F@ IBBA IX @ZCBA A[L@Y .Y (@W / LKJC) 5 

∡  Nbr ZZI whtc [EF tcrbumcbut hts fkdmtc

`de Wbhdt Fb`e `t hts lhe ‚  pbhdt bn fkdmtc ∡

  Nbr J`dthfkvkr I`r whtc `xh`f fb`ehdm

Ikdehdm Lblkdt?  

K Xbudm‘s lbeufus

H Lblkdt bn Hdkrth`

Kx`jt Zbfuthbd?

ZZI L`x Eknfkjthbd whtc [EF tcrbumcbut hts fkdmtc

   

ZZI L`x Ikdehdm Lblkdt whtc [EF tcrbumcbut hts fkdmtc

 

ZZI L`x Eknfkjthbd whtc Wbhdt Fb`e `t hts lhe ‚  pbhdt bn fkdmtc

 

ZZI L`x Ikdehdm Lblkdt whtc Wbhdt Fb`e `t hts lhe ‚  pbhdt bn fkdmtc

 

ZZI L`x Eknfkjthbd whtc [EF tcrbumcbut hts fkdmtc `de Wbhdt Fb`e `t hts lhe ‚  pbhdt bn fkdmtc

   

ZZI L`x Ikdehdm Lblkdt whtc [EF tcrbumcbut hts fkdmtc `de Wbhdt Fb`e `t

hts lhe ‚  pbhdt bn fkdmtc 

 

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EKW@YULKDU BN LKJC@DHJ@F KDMHDKKYHDM LK9:;: ‚ NK@ 

NHDHUK KFKLKDU @D@FXZHZ NBYL[F@ IBBA IX @ZCBA A[L@Y .Y (@W / LKJC) ; 

MKDKY@F UYHMBDBLKUYHJ N[DJUHBDZ [ZKE HD YHU_ LKUCBE?

 

 

   

ZWYHDMZ?

Uck Ubt`f Wbtkdth`f Kdkrmy bn tck Ik`l?

 

[ Ztr`hd Kdkrmy

C ]bra Ebdk iy Kxtkrd`f Nbrjk 

Ztr`hd Kdkrmy?

   

a Zthnndkss bn Zprhdm

ε  Eknfkjthbd 

 ]bra ebdk iy Kxtkrd`f Nbrjk?  

N Nbrjk `jthdm bd tck sprhdm

u  Ehspf`jklkdt

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EKW@YULKDU BN LKJC@DHJ@F KDMHDKKYHDM LK9:;: ‚ NK@ 

NHDHUK KFKLKDU @D@FXZHZ NBYL[F@ IBBA IX @ZCBA A[L@Y .Y (@W / LKJC) > 

Ehspf`jklkdt Nudjthbd?

Nbr 0E fhdk`r i`r kfklkdt

 

 

 

Nbr 0E qu`er`thj kfklkdt

 

 

 

 

[DHU HH  ‚  BDK EHLKDZHBD@F NHDHUK KFKLKDU

@D@FXZHZ

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EKW@YULKDU BN LKJC@DHJ@F KDMHDKKYHDM LK9:;: ‚ NK@ 

NHDHUK KFKLKDU @D@FXZHZ NBYL[F@ IBBA IX @ZCBA A[L@Y .Y (@W / LKJC) = 

 D0  Zc`pk Nudjthbd `t dbek 0

u0  Ehspf`jklkdt `t dbek 0

 D9  Zc`pk Nudjthbd `t dbek 9

u9  Ehspf`jklkdt `t dbek 9

 D:  Zc`pk Nudjthbd `t dbek :

u:  Ehspf`jklkdt `t dbek 9

Zthnndkss L`trhx?

Nbr 0E fhdk`r i`r kfklkdt

     

Nbr 0E qu`er`thj kfklkdt

     

@ @rk` bn tck kfklkdt - ll9

K Xbudm‘s Lbeufus bn tck kfklkdt - D/ll9 

f   Fkdmtc bn tck kfklkdt - ll

Mkdkr`f Nbrjk Kqu`thbd?   

  Nbrjk vkjtbr (Mfbi`f)

  Mfbi`f sthnndkss l`trhx  Ehspf`jklkdt l`trhx

Yk`jthbd Nbrjk?      Yk`jthbd nbrjk

Hn Uck Ibey Hs Zuiokjtke Ub Zkfn ‚ ]khmct?

Nbr 0E fhdk`r i`r kfklkdt    

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EKW@YULKDU BN LKJC@DHJ@F KDMHDKKYHDM LK9:;: ‚ NK@ 

NHDHUK KFKLKDU @D@FXZHZ NBYL[F@ IBBA IX @ZCBA A[L@Y .Y (@W / LKJC) 3 

Nbr 0E qu`er`thj kfklkdt

{

}

 

π  [dht wkhmct ekdshty bn tck kfklkdt - D/ll: 

@ @rk` bn tck kfklkdt - ll9 

f   Fkdmtc bn tck kfklkdt - ll

Ztrkss Bd Uck Kfklkdt?  

NBY U@WKY WF@UK?

Nbr rkjt`dmuf`r jrbss skjthbd

@rk` < ]hetc * Uchjadkss

@t `dy pbhdt bn x

       

@rk` `t dbek 0?

   

@rk` `t dbek 9(@ppfhj`ifk bdfy nbr lhe ‚  pbhdt)?   

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EKW@YULKDU BN LKJC@DHJ@F KDMHDKKYHDM LK9:;: ‚ NK@ 

NHDHUK KFKLKDU @D@FXZHZ NBYL[F@ IBBA IX @ZCBA A[L@Y .Y (@W / LKJC) 8 

  ( )  

@rk` `t dbek :?

   

@vkr`mk `rk` bn kfklkdt 0?     @vkr`mk `rk` bn kfklkdt 9?

  

   

Nbr jhrjuf`r jrbss skjthbd     

UKLWKY@U[YK KNNKJUZ BD ZUY[JU[Y@F WYBIFKL?

Zthnndkss L`trhx?

     @ @rk` bn tck kfklkdt - ll9

K Xbudm‘s Lbeufus bn tck kfklkdt - D/ll9 

f   Fkdmtc bn tck kfklkdt - ll

Uckrl`f Fb`e?

 

@ @rk` bn tck kfklkdt - ll9

K Xbudm‘s Lbeufus bn tck kfklkdt - D/ll9

ΰ  Jbknnhjhkdt bn tckrl`f kxp`dshbd - /˟J   Uklpkr`turk ehnnkrkdjk

Uckrl`f Ztrkss?

 

  Uckrl`f Ztr`hd 

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EKW@YULKDU BN LKJC@DHJ@F KDMHDKKYHDM LK9:;: ‚ NK@ 

NHDHUK KFKLKDU @D@FXZHZ NBYL[F@ IBBA IX @ZCBA A[L@Y .Y (@W / LKJC) 0

Nbr kfklkdt 0    

Yk`jthbd Nbrjk?

     Yk`jthbd nbrjk  Nbrjk vkjtbr (Mfbi`f)  Mfbi`f sthnndkss l`trhx  Ehspf`jklkdt l`trhx

ZWYHDMZ?

Zthnndkss L`trhx?  a Zthnndkss bn tck sprhdm - D/ll

UY[ZZKZ?

Zthnndkss L`trhx?

   

@k  @rk` bn tck kfklkdt - ll9

Kk  Xbudm‘s Lbeufus bn tck kfklkdt - D/ll9

f k  Fkdmtc bn tck kfklkdt - ll

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EKW@YULKDU BN LKJC@DHJ@F KDMHDKKYHDM LK9:;: ‚ NK@ 

NHDHUK KFKLKDU @D@FXZHZ NBYL[F@ IBBA IX @ZCBA A[L@Y .Y (@W / LKJC) 00 

Fkdmtc bn kfklkdt 0  ∟  

   Ztrkss?

Ztrkss bn kfklkdt 0

   

 

u l`trhx v`rhks `jjbrehdm tck kfklkdt

IK@LZ?

Ehspf`jklkdt Nudjthbd?

     

   

   

   

 D0  Zc`pk Nudjthbd `t dbek 0

u0  Ehspf`jklkdt `t dbek 0

 D9  Zc`pk Nudjthbd `t dbek 9

u9  Ehspf`jklkdt `t dbek 9

 D:  Zc`pk Nudjthbd `t dbek :

u:  Ehspf`jklkdt `t dbek :

 D5  Zc`pk Nudjthbd `t dbek 5

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EKW@YULKDU BN LKJC@DHJ@F KDMHDKKYHDM LK9:;: ‚ NK@ 

NHDHUK KFKLKDU @D@FXZHZ NBYL[F@ IBBA IX @ZCBA A[L@Y .Y (@W / LKJC) 09 

u5  Ehspf`jklkdt `t dbek 5

Zthnndkss L`trhx?

 

H Lblkdt bn Hdkrth` - ll5

K Xbudm‘s Lbeufus  - D/ll9

F Fkdmtc bn tck ik`l - ll

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EKW@YULKDU BN LKJC@DHJ@F KDMHDKKYHDM LK9:;: ‚ NK@ 

NHDHUK KFKLKDU @D@FXZHZ NBYL[F@ IBBA IX @ZCBA A[L@Y .Y (@W / LKJC) 0: 

Dbe`f Nbrjks `de Ikdehdm Lblkdts?

Z.DbFB@EHDM

J@ZKN0  l0  N9  l9 

0)         

9)         

:)         

5)         

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EKW@YULKDU BN LKJC@DHJ@F KDMHDKKYHDM LK9:;: ‚ NK@ 

NHDHUK KFKLKDU @D@FXZHZ NBYL[F@ IBBA IX @ZCBA A[L@Y .Y (@W / LKJC) 05 

Z.DbFB@EHDM

J@ZKN0  l0  N9  l9 

;)         

>)         

=)         

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EKW@YULKDU BN LKJC@DHJ@F KDMHDKKYHDM LK9:;: ‚ NK@ 

NHDHUK KFKLKDU @D@FXZHZ NBYL[F@ IBBA IX @ZCBA A[L@Y .Y (@W / LKJC) 0; 

JBDZU@DU ZUY@HD UYH@DM[F@Y KFKLKDU?

Zc`pk Nudjthbd?  

 

 

 

 

         

 

 

@rk`?

     Zc`pk Nudjthbd?

 

]ckd `ff tck sc`pk nudjthbd hs mhvkd  

[DHU HHH  ‚  U]B EHLKDZHBD@F NHDHUK KFKLKDU

@D@FXZHZ

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EKW@YULKDU BN LKJC@DHJ@F KDMHDKKYHDM LK9:;: ‚ NK@ 

NHDHUK KFKLKDU @D@FXZHZ NBYL[F@ IBBA IX @ZCBA A[L@Y .Y (@W / LKJC) 0> 

 

]ckd twb br bdk sc`pk nudjthbd hs mhvkd

Ztr`hd Ehspf`jklkdt L`trhx?

   

@ @rk` bn tck trh`dmuf`r kfklkdt - ll9

 

       

 

Ztrkss Ztr`hd Ykf`thbdschp L`trhx?

Nbr Wf`dk Ztrkss jbdehthbd?

   

Nbr Wf`dk Ztrkss jbdehthbd? 

   

K Xbudm‘s Lbeufus  - D/ll9

κ  Wbhssbd‘s r`thb 

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EKW@YULKDU BN LKJC@DHJ@F KDMHDKKYHDM LK9:;: ‚ NK@ 

NHDHUK KFKLKDU @D@FXZHZ NBYL[F@ IBBA IX @ZCBA A[L@Y .Y (@W / LKJC) 0= 

Zthnndkss L`trhx?        Ztr`hd Ehspf`jklkdt l`trhx

  Ztrkss ‚  Ztr`hd Ykf`thbdschp l`trhx

t Uchjadkss bn tck trh`dmuf`r kfklkdt - ll   @rk` bn tck trh`dmuf`r kfklkdt - ll9 

Ub Jbdvkrt Ur`jthbd Nbrjk Hdtb Dbe`f Nbrjk?

 

 

   

  Dbe`f nbrjk - D  Zurn`jk tr`jthbd - D / ll9 

t Uchjadkss bn tck kfklkdt - ll

 i Irk`etc bn tck kfklkdt - ll

   @rk` bn tck trh`dmuf`r kfklkdt - ll9

 Ub Jbdvkrt Wrkssurk Hdtb Dbe`f Nbrjk?

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EKW@YULKDU BN LKJC@DHJ@F KDMHDKKYHDM LK9:;: ‚ NK@ 

NHDHUK KFKLKDU @D@FXZHZ NBYL[F@ IBBA IX @ZCBA A[L@Y .Y (@W / LKJC) 03 

Hn shek o - a hs suiokjtke tb prkssurk hd x ehrkjthbd (dbek 9 & :)

{

}

 

Hn shek o - a hs suiokjtke tb prkssurk hd y ehrkjthbd (dbek 9 & :)

{

}

 

Hn shek h - o hs suiokjtke tb prkssurk hd x ehrkjthbd (dbek 0 & 9)

{

Hn shek h - o hs suiokjtke tb prkssurk hd y ehrkjthbd (dbek 0 & 9)

{

}

 

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EKW@YULKDU BN LKJC@DHJ@F KDMHDKKYHDM LK9:;: ‚ NK@ 

NHDHUK KFKLKDU @D@FXZHZ NBYL[F@ IBBA IX @ZCBA A[L@Y .Y (@W / LKJC) 08 

Hn shek h - a hs suiokjtke tb prkssurk hd x ehrkjthbd (dbek 0 & :)

{

}

 

Hn shek h - a hs suiokjtke tb prkssurk hd y ehrkjthbd (dbek 0 & :)

{

}

 

  Nbrjk vkjtbr - D

  Wrkssurk - D / ll9 

t Uchjadkss bn tck kfklkdt - ll

F Fkdmtc bn tck kfklkdt - ll

Kfklkdt Ztrkss?    

  {

  Dbrl`f strkss hd x ehrkjthbd - D/ll

  Dbrl`f strkss hd y ehrkjthbd - D/ll9

  Zck`r Ztrkss - D/ll9

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EKW@YULKDU BN LKJC@DHJ@F KDMHDKKYHDM LK9:;: ‚ NK@ 

NHDHUK KFKLKDU @D@FXZHZ NBYL[F@ IBBA IX @ZCBA A[L@Y .Y (@W / LKJC) 9

u & v  Dbe`f ehspf`jklkdt - ll 

L`xhlul Dbrl`f Ztrkss?

   

 

Lhdhlul Dbrl`f Ztrkss?

   

Wrhdjhpfk @dmfk?

 

Kfklkdt Ztr`hd?   

 {

  Dbrl`f str`hd hd x ehrkjthbd - D/ll9 

  Dbrl`f str`hd hd y ehrkjthbd - D/ll9

  Zck`r Ztrkss - D/ll9

u & v  Dbe`f ehspf`jklkdt - ll 

UKLWKY@U[YK KNNKJUZ?

Hdhth`f Ztr`hd?

Nbr Wf`dk Ztrkss jbdehthbd?

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EKW@YULKDU BN LKJC@DHJ@F KDMHDKKYHDM LK9:;: ‚ NK@ 

NHDHUK KFKLKDU @D@FXZHZ NBYL[F@ IBBA IX @ZCBA A[L@Y .Y (@W / LKJC) 90 

 

Nbr Wf`dk Ztr`hd jbdehthbd?

 

ΰ  Jbknnhjhkdt bn tckrl`f kxp`dshbd - /˟J   Uklpkr`turk ehnnkrkdjk 

κ  Wbhssbd‘s r`thb 

Kfklkdt Uklpkr`turk Nbrjk?

       Ztr`hd Ehspf`jklkdt l`trhx  Ztrkss ‚  Ztr`hd Ykf`thbdschp l`trhx  Hdhth`f str`hd

t Uchjadkss bn tck trh`dmuf`r kfklkdt - ll

   @rk` bn tck trh`dmuf`r kfklkdt - ll

@SHZ ZXLLKUYHJ KFKLKDUZ?

Zc`pk Nudjthbd?   

 

 

 

 

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EKW@YULKDU BN LKJC@DHJ@F KDMHDKKYHDM LK9:;: ‚ NK@ 

NHDHUK KFKLKDU @D@FXZHZ NBYL[F@ IBBA IX @ZCBA A[L@Y .Y (@W / LKJC) 99 

     

 

       

 

@rk`?

     Ztr`hd Ehspf`jklkdt L`trhx?

   

@ @rk` bn tck trh`dmuf`r kfklkdt - ll9

 

       

 

   

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EKW@YULKDU BN LKJC@DHJ@F KDMHDKKYHDM LK9:;: ‚ NK@ 

NHDHUK KFKLKDU @D@FXZHZ NBYL[F@ IBBA IX @ZCBA A[L@Y .Y (@W / LKJC) 9: 

 

Ztrkss Ztr`hd Ykf`thbdschp L`trhx?

   

K Xbudm‘s Lbeufus  - D/ll9

κ  Wbhssbd‘s r`thb 

Zthnndkss L`trhx?      

  Ztr`hd Ehspf`jklkdt l`trhx

  Ztrkss ‚  Ztr`hd Ykf`thbdschp l`trhx

r Y`ehus bn tck trh`dmuf`r kfklkdt - ll   @rk` bn tck trh`dmuf`r kfklkdt - ll9 

Kfklkdt Ztrkss?    

  

{}

 

  Y`eh`f strkss - D/ll

  Jhrjulnkrkdth`f strkss - D/ll9

  Fbdmhtuehd`f strkss - D/ll9

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EKW@YULKDU BN LKJC@DHJ@F KDMHDKKYHDM LK9:;: ‚ NK@ 

NHDHUK KFKLKDU @D@FXZHZ NBYL[F@ IBBA IX @ZCBA A[L@Y .Y (@W / LKJC) 95 

  Zck`r Ztrkss - D/ll9

u & w  Dbe`f ehspf`jklkdt - ll 

UKLWKY@U[YK KNNKJUZ?

Uckrl`f Nbrjk ^kjtbr?

   

 

  Ztr`hd Ehspf`jklkdt l`trhx

  Ztrkss ‚  Ztr`hd Ykf`thbdschp l`trhx

  Ztr`hd l`trhx

r Y`ehus bn tck trh`dmuf`r kfklkdt - ll   @rk` bn tck trh`dmuf`r kfklkdt - ll9 

Ztr`hd?

 

ΰ  Jbknnhjhkdt bn tckrl`f kxp`dshbd - /˟J   Uklpkr`turk ehnnkrkdjk 

YKJU@DM[F@Y KFKLKDU?

Zc`pk Nudjthbd?

  

 

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EKW@YULKDU BN LKJC@DHJ@F KDMHDKKYHDM LK9:;: ‚ NK@ 

NHDHUK KFKLKDU @D@FXZHZ NBYL[F@ IBBA IX @ZCBA A[L@Y .Y (@W / LKJC) 9; 

 

 

HZBW@Y@LKUYHJ KFKLKDU?

NB[Y DBEKE P[@EYHF@UKY@F?

Zc`pk Nudjthbd?

     

     

     

     

 

 

O`jbih`d L`trhx?

 

 

         

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EKW@YULKDU BN LKJC@DHJ@F KDMHDKKYHDM LK9:;: ‚ NK@ 

NHDHUK KFKLKDU @D@FXZHZ NBYL[F@ IBBA IX @ZCBA A[L@Y .Y (@W / LKJC) 9> 

                          

             

             

Ztr`hd Ehspf`jklkdt L`trhx?

| |           

 Q \ 

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EKW@YULKDU BN LKJC@DHJ@F KDMHDKKYHDM LK9:;: ‚ NK@ 

NHDHUK KFKLKDU @D@FXZHZ NBYL[F@ IBBA IX @ZCBA A[L@Y .Y (@W / LKJC) 9= 

Ztrkss Ztr`hd Ykf`thbdschp L`trhx?

Nbr Wf`dk Ztrkss jbdehthbd?

 

 

Nbr Wf`dk Ztrkss jbdehthbd? 

 

 

K Xbudm‘s Lbeufus - D/ll

9

κ  Wbhssbd‘s r`thb 

Zthnndkss L`trhx?

Nbr Hsbp`r`lktrhj Pu`erhf`tkr`f Kfklkdt?

     

Nbr D`tur`f Jb ‚  Brehd`tks

   | |

 

  Ztr`hd Ehspf`jklkdt l`trhx  Ztrkss ‚  Ztr`hd Ykf`thbdschp l`trhx

| |  Ektkrlhd`dt bn tck O`jbih`d l`trhx

λ,ν  D`tur`f Jb ‚  Brehd`tks

t Uchjadkss bn tck kfklkdt - ll   @rk` bn tck trh`dmuf`r kfklkdt - ll9

ZHS DBEKE P[@EYHF@UKY@F?

Zc`pk Nudjthbd?

( )  

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EKW@YULKDU BN LKJC@DHJ@F KDMHDKKYHDM LK9:;: ‚ NK@ 

NHDHUK KFKLKDU @D@FXZHZ NBYL[F@ IBBA IX @ZCBA A[L@Y .Y (@W / LKJC) 93 

( )  

( )

 

 

 

 

KHMCU DBEKE P[@EYHF@UKY@F?

Zc`pk Nudjthbd?

       

       

       

     

     

     

     

     

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EKW@YULKDU BN LKJC@DHJ@F KDMHDKKYHDM LK9:;: ‚ NK@ 

NHDHUK KFKLKDU @D@FXZHZ NBYL[F@ IBBA IX @ZCBA A[L@Y .Y (@W / LKJC) 98 

DHDK DBEKE P[@EYHF@UKY@F?

Zc`pk Nudjthbd?

           

     

     

   

     

     

     

     

M@[ZZH@D P[@EY@U[YK?

∐  

 

          

  ]khmct nudjthbd   ^`fuks bn tck nudjthbd `t prk ‚  ektkrlhdke s`lpfhdm pbhdts

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EKW@YULKDU BN LKJC@DHJ@F KDMHDKKYHDM LK9:;: ‚ NK@ 

NHDHUK KFKLKDU @D@FXZHZ NBYL[F@ IBBA IX @ZCBA A[L@Y .Y (@W / LKJC) :

Dulikr bn

pbhdts

d

Fbj`thbd

 x h  

]khmcts

wh  

0

 

 

9      

:

   

 

 

 

5    

   

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EKW@YULKDU BN LKJC@DHJ@F KDMHDKKYHDM LK9:;: ‚ NK@ 

NHDHUK KFKLKDU @D@FXZHZ NBYL[F@ IBBA IX @ZCBA A[L@Y .Y (@W / LKJC) :0 

FBDMHU[EHD@F ^HIY@UHBD BN I@Y?Mkdkr`f Nhdhtk Kfklkdt Kqu`thbd?       Zthnndkss l`trhx  L`ss l`trhx

  Kxtkrd`f Nbrjk

  Ehspf`jklkdt l`trhx  D`tur`f Nrkqukdjy - r`e / skj

Zthnndkss L`trhx? 

     

@ @rk` bn tck kfklkdt - ll9

K Xbudm‘s Lbeufus bn tck kfklkdt - D/ll9 

f   Fkdmtc bn tck kfklkdt - ll

Fulpke L`ss L`trhx? 

   π  [dht wkhmct ekdshty bn tck kfklkdt - D/ll: 

@ @rk` bn tck kfklkdt - ll9

f   Fkdmtc bn tck kfklkdt - ll

Jbdshstkdt L`ss L`trhx? 

   π  [dht wkhmct ekdshty bn tck kfklkdt - D/ll: 

@ @rk` bn tck kfklkdt - ll9

f   Fkdmtc bn tck kfklkdt - ll

[DHU H^  ‚  EXD@LHJ @D@FXZHZ [ZHDM NHDHUK

KFKLKDU LKUCBE

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EKW@YULKDU BN LKJC@DHJ@F KDMHDKKYHDM LK9:;: ‚ NK@ 

NHDHUK KFKLKDU @D@FXZHZ NBYL[F@ IBBA IX @ZCBA A[L@Y .Y (@W / LKJC) :9 

UY@DZ^KYZK ^HIY@UHBD BN IK@LZ?

Mkdkr`f Nhdhtk Kfklkdt Kqu`thbd?     

  Zthnndkss l`trhx

  L`ss l`trhx  Kxtkrd`f Nbrjk  Ehspf`jklkdt l`trhx  D`tur`f Nrkqukdjy - r`e / skj

Zthnndkss L`trhx?

 

H Lblkdt bn Hdkrth` - ll5

K Xbudm‘s Lbeufus  - D/ll9

F Fkdmtc bn tck ik`l - ll

Fulpke L`ss L`trhx? 

   

π  [dht wkhmct ekdshty bn tck kfklkdt - D/ll: 

@ @rk` bn tck kfklkdt - ll9

f   Fkdmtc bn tck kfklkdt - ll

Jbdshstkdt L`ss L`trhx? 

   

π  [dht wkhmct ekdshty bn tck kfklkdt - D/ll: 

@ @rk` bn tck kfklkdt - ll9

f   Fkdmtc bn tck kfklkdt - ll

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EKW@YULKDU BN LKJC@DHJ@F KDMHDKKYHDM LK9:;: ‚ NK@ 

NHDHUK KFKLKDU @D@FXZHZ NBYL[F@ IBBA IX @ZCBA A[L@Y .Y (@W / LKJC) :: 

KHMKD ^@F[KZ & KHMKD ^KJUBYZ?

Mkdkr`f Nhdhtk Kfklkdt Kqu`thbd?     

  Zthnndkss l`trhx

  L`ss l`trhx  Ehspf`jklkdt l`trhx  Khmkd v`fuks

Ektkrlhd`dt Lktcbe?    

  Zthnndkss l`trhx

  L`ss l`trhx  Khmkd v`fuks

D`tur`f Nrkqukdjy bn I`r Kfklkdt?  

 

  

   Nrkqukdjy bn i`r - Cz  L`ss l`trhx  Khmkd v`fuks  D`tur`f Nrkqukdjy - r`e / skj

UY@DZHKDU ^HIY@UHBD @D@FXZHZ? 

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EKW@YULKDU BN LKJC@DHJ@F KDMHDKKYHDM LK9:;: ‚ NK@ 

NHDHUK KFKLKDU @D@FXZHZ NBYL[F@ IBBA IX @ZCBA A[L@Y .Y (@W / LKJC) :5 

CK@U UY@DZNKY?

BDK EHLKDZHBD@F CK@U UY@DZNKY BD ]@FF?

Mfbi`f Zthnndkss L`trhx ]ckd ]`ff Zuiokjtke Ub Jbdeujthbd?

     Nbrjk vkjtbr (Mfbi`f)

  Mfbi`f sthnndkss l`trhx

  Uklpkr`turk l`trhx       

 

 

@ @rk` bn tck w`ff - l

9

a Uckrl`f jbdeujthvhty bn w`ff - ]/lA

f   Fkdmtc bn tck w`ff - l

Mfbi`f Zthnndkss L`trhx ]ckd ]`ff Zuiokjtke Ub Jbdeujthbd &

Jbdvkjthbd?

       

@ @rk` bn tck w`ff - l9

a Uckrl`f jbdeujthvhty bn w`ff - ]/lA

f   Fkdmtc bn tck w`ff - l

c  Ck`t tr`dsnkr jbknnhjhkdt - ]/l9A

  @tlbspckrhj `hr tklpkr`turk - A

[DHU ^  ‚  @WWFHJ@UHBDZ HD CK@U UY@DZNKY & NF[HE

LKJC@DHJZ

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EKW@YULKDU BN LKJC@DHJ@F KDMHDKKYHDM LK9:;: ‚ NK@ 

NHDHUK KFKLKDU @D@FXZHZ NBYL[F@ IBBA IX @ZCBA A[L@Y .Y (@W / LKJC) :; 

BDK EHLKDZHBD@F CK@U UY@DZNKY BD NHD? 

Mfbi`f Zthnndkss L`trhx ]ckd Nhd Zuiokjtke Ub Jbdeujthbd &

Jbdvkjthbd?

       

     

@ @rk` bn tck nhd - l9

W Wkrhlktkr bn tck nhd - l

a Uckrl`f jbdeujthvhty bn nhd - ]/lA

f   Fkdmtc bn tck nhd - l

c  Ck`t tr`dsnkr jbknnhjhkdt - ]/l9A  @tlbspckrhj `hr tklpkr`turk - A

P  Ck`t Mkdkr`thbd - ]

U]B EHLKDZHBD@F CK@U UY@DZNKY?

Zthnndkss L`trhx ]ckd Zuiokjtke Ub Jbdeujthbd? 

       Ztr`hd Ehspf`jklkdt l`trhx  L`tkrh`f Wrbpkrty l`trhx

t Uchjadkss bn tck trh`dmuf`r kfklkdt - ll

   @rk` bn tck trh`dmuf`r kfklkdt - ll9

 

Ztr`hd Ehspf`jklkdt L`trhx?

   

 

   

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EKW@YULKDU BN LKJC@DHJ@F KDMHDKKYHDM LK9:;: ‚ NK@ 

NHDHUK KFKLKDU @D@FXZHZ NBYL[F@ IBBA IX @ZCBA A[L@Y .Y (@W / LKJC) :> 

     

@rk`?

     L`tkrh`f Wrbpkrty L`trhx?

 

a  xx & a  yy  Uckrl`f jbdeujthvhty - ]/lA

Zthnndkss L`trhx ]ckd Zuiokjtke Ub Jbdeujthbd? 

 

       

 

 a   Uckrl`f jbdeujthvhty - ]/lA   @rk` bn tck trh`dmuf`r kfklkdt - ll9 

Zthnndkss L`trhx ]ckd Zuiokjtke Ub Jbdeujthbd & Jbdvkjthbd? 

Hn shek 0-9 hs suiokjtke tb jbdvkjthbd

       

Hn shek 9-: hs suiokjtke tb jbdvkjthbd

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EKW@YULKDU BN LKJC@DHJ@F KDMHDKKYHDM LK9:;: ‚ NK@ 

NHDHUK KFKLKDU @D@FXZHZ NBYL[F@ IBBA IX @ZCBA A[L@Y .Y (@W / LKJC) := 

       

Hn shek 0-: hs suiokjtke tb jbdvkjthbd

       

]ckrk ∟    ∟   

∟     Ztr`hd Ehspf`jklkdt l`trhx  L`tkrh`f Wrbpkrty l`trhx

t Uchjadkss bn tck trh`dmuf`r kfklkdt - ll   @rk` bn tck trh`dmuf`r kfklkdt - ll9 

f   Fkdmtc bn tck shek suiokjtke tb jbdvkjthbd - l

c  Ck`t tr`dsnkr jbknnhjhkdt - ]/l

9

AZthnndkss L`trhx ]ckd Zuiokjtke Ub Jbdvkjthbd? 

Hn shek 0-9 hs suiokjtke tb jbdvkjthbd

 

 

Hn shek 9-: hs suiokjtke tb jbdvkjthbd

   

Hn shek 0-: hs suiokjtke tb jbdvkjthbd

   

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EKW@YULKDU BN LKJC@DHJ@F KDMHDKKYHDM LK9:;: ‚ NK@ 

NHDHUK KFKLKDU @D@FXZHZ NBYL[F@ IBBA IX @ZCBA A[L@Y .Y (@W / LKJC) :3 

Nbrjk ^kjtbr Nbr Jbdvkjthbd?

Hn shek 0-9 hs suiokjtke tb jbdvkjthbd 

  

Hn shek 9-: hs suiokjtke tb jbdvkjthbd

  

Hn shek 0-: hs suiokjtke tb jbdvkjthbd

  

  @tlbspckrhj `hr tklpkr`turk - A

t Uchjadkss bn tck trh`dmuf`r kfklkdt - ll

f   Fkdmtc bn tck shek suiokjtke tb jbdvkjthbd - l

c  Ck`t tr`dsnkr jbknnhjhkdt - ]/l9A

Nbrjk ^kjtbr Hn Ck`t Zburjk Hs Mhvkd? 

  

 

P Ck`t Zburjk - ]/l

:

 ^   ^bfulk bn trh`dmuf`r kfklkdt - l

 @  @rk` bn trh`dmuf`r kfklkdt - l9 

t Uchjadkss bn tck trh`dmuf`r kfklkdt - ll

Nbrjk ^kjtbr Hn Ck`t Nfux Hs Mhvkd?

Hn shek 0-9 hs suiokjtke tb ck`t nfux

  

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EKW@YULKDU BN LKJC@DHJ@F KDMHDKKYHDM LK9:;: ‚ NK@ 

NHDHUK KFKLKDU @D@FXZHZ NBYL[F@ IBBA IX @ZCBA A[L@Y .Y (@W / LKJC) :8 

Hn shek 9- : hs suiokjtke tb ck`t nfux

  

Hn shek 0-: hs suiokjtke tb ck`t nfux

  

NF[HE NFB] @D@FXZHZ?

BDK EHLKDZHBD@F NF[HE NFB] @D@FXZHZ?

Zthnndkss L`trhx? 

     @ @rk` bn tck jrbss skjthbd bn tck phpk - l9

a  xx  Wkrlk`ihfhty jbknnhjhkdt - l/s

f   Fkdmtc - l

Nfuhe ^kfbjhty?

    

 

Nbr kfklkdt 0

   

  Ztr`hd Ehspf`jklkdt l`trhx

a  xx  Wkrlk`ihfhty jbknnhjhkdt - l/s

 p  pbtkdth`f - l9/s

 ^bfulktrhj Nfbw Y`tk?

 

P Nfbw r`tk - l

:

/sv  ^kfbjhty - l/s 

@ @rk` bn tck jrbss skjthbd bn tck phpk - l9

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EKW@YULKDU BN LKJC@DHJ@F KDMHDKKYHDM LK9:;: ‚ NK@ 

NHDHUK KFKLKDU @D@FXZHZ NBYL[F@ IBBA IX @ZCBA A[L@Y .Y (@W / LKJC) 5

U]B EHLKDZHBD@F NF[HE NFB]?

Zthnndkss L`trhx? 

     

  Ztr`hd Ehspf`jklkdt l`trhx  L`tkrh`f Wrbpkrty l`trhx

t Uchjadkss bn tck trh`dmuf`r kfklkdt - l   @rk` bn tck trh`dmuf`r kfklkdt - l9 

Ztr`hd Ehspf`jklkdt L`trhx?

   

   

 

     

@rk`?

   

 

L`tkrh`f Wrbpkrty L`trhx?

 

a  xx & a  yy  Wkrlk`ihfhty jbknnhjhkdt - l/s

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EKW@YULKDU BN LKJC@DHJ@F KDMHDKKYHDM LK9:;: ‚ NK@ Zthnndkss L`trhx? 

   

       

   

       

 

 a  xx & a  yy  Wkrlk`ihfhty jbknnhjhkdt - l/s   @rk` bn tck trh`dmuf`r kfklkdt - l9

Mr`ehkdt L`trhx?   

  Ztr`hd Ehspf`jklkdt l`trhx

 p  pbtkdth`f l`trhx - l9/s

 ^kfbjhty Mr`ehkdt L`trhx?     L`tkrh`f Wrbpkrty l`trhx - l/s   Mr`ehkdt l`trhx

 ^bfulktrhj Nfbw Y`tk?

 

  Nfuhe nfbw r`tk - l:/s

t Uchjadkss bn tck trh`dmuf`r kfklkdt - l