17
3. Wej humnjr `b brjj jljotr`hs pjr 39 mm `b ch `rgfhcry o`ppjr wfrj fs > x 39 >3 . Wej cvjrcdj grfbt spjjg `b tej jljotr`hs fs 9.>: mm/s. Wej ourrjht bl`wfhd fs1 C. 9.5 C N. 5 C O. 59 C G. : C >. Tefoe `b tej b`ll`wfhd ojlls fs m`rj lfkjly t` nj gcmcdjg guj t` se`rt ofrouftfhd0 C. Gchfjl N. Gry O. Cofg G. Bujl ?. C dcs jxpchgs br`m : lftrj t` 39: lftrj ct c o`hstcht prjssurj 399H/m > . Wej w`rk g`hj fs C. 3 A`ulj N. 7 A`ulj O. 5 A`ulj G. 39 A`ulj 7. Wej Ejlfum huoljf och nj b`rmjg br`m C. Eygr`djh huoljf ny pr`ojss `b oecfh rjcotf`h N. Eygr`djh huoljf ter`ude hu oljcr bfssf`h O. Eygr`djh huoljf ter`ude huoljcr busf`h G. H`hj `b tejsj :. Fh tej ct`m n`mn gr`ppjg ny Cmjrfochs fh 367: `h Hcdcsckf, Acpch, tej bfssf`hcnlj mctjrfcl usjg wcs C. Ejlfum 7 N. Ylut`hfum >?6 O. Zrchfum >?: G. Zrchfum >?? 2. Wej jhdfhj `b c truok m`vfhd c strcfdet r`cg gjlfvjrs o`hstcht p`wjr. Wej gfstchoj trcvjlljg  ny tej truok fh tfm j t  fs pr`p`rtf`hcl t` C. t  N. t  >  O. t  G. t  ?/>  4. Wej vjl`ofty `b jljotr`h fh dr`uhg stctj `b eygr`djh ct`m fs C. > x 39 : m/s N. > x 39 2 m/s O. > x 39 4 m/s G. > x 39 5 m/s 5. Wej rcgfus `b tej bfrst `rnft `b tej jljotr`h fh c eygr`djh ct`m fs :.? x 39 -33  m; tejh tej rcgfus `b tej sjo`hg `rnft must nj C. 3:.6 x 39 -33  m N. 39.2 x 39 m O. >3.> x 39 -33  m G. 7>.7 x 39 -33  m 6. C pjrs`h pusejs c r`ok `b 39 39 Kd mcss ny cpplyfhd c b`roj `b `hly 39H b`r aust 7 sjo`hgs. Wej w`rk g`hj fs C. 3999 A`ulj N. 9 A O. hjcrly zjr` G. p`sftfvj 39. @hj och tckj pfoturjs `b `najots wefoe crj o`mpljtjly fhvfsfnlj t` tej jyj usfhd ocmjrc bflms wefoe crj sjhsftfvj t` C. ultrc-vf`ljt rcys N. s`gfum lfdet O. vfsfnlj lfdet G. fhbrc-rjg rcys 33. Lfdet br`m c 399 wctt bflcmjht nuln fs pcssjg ter`ude ch jvcouctjg dlcss tunj o`htcfhfhd s`gfum vcp`ur ct c efde tjmpjrcturj. Fb tej trchsmfttjg lfdet fs vfjwjg ter`ude c spjotr`mjtjr, wj wfll `nsjrvj C. G 3  chg G >  lfhjs `b s`gfum wfte d``g fhtjhsfty N. gcrk lfhjs wejrj G 3  chg G >  lfhjs se`ulg ecvj  njjh `nsjrvjg O. o`htfhu`us rcgfctf`h br`m tej nuln `hly G. tej jhtfrj jmfssf`h spjotrum `b s`gfum

IPU CET sample paper-5 (GGSIPU ModelPaper-5)

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3. Wej humnjr `b brjj jljotr`hs pjr 39 mm `b ch `rgfhcry o`ppjr wfrj fs > x 39>3. Wej cvjrcdjgrfbt spjjg `b tej jljotr`hs fs 9.>: mm/s. Wej ourrjht bl`wfhd fs1

C. 9.5 C N. 5 C O. 59 C G. : C

>. Tefoe `b tej b`ll`wfhd ojlls fs m`rj lfkjly t` nj gcmcdjg guj t` se`rt ofrouftfhd0

C. Gchfjl N. Gry O. Cofg G. Bujl

?. C dcs jxpchgs br`m : lftrj t` 39: lftrj ct c o`hstcht prjssurj 399H/m>. Wej w`rk g`hj fs

C. 3 A`ulj N. 7 A`ulj O. 5 A`ulj G. 39 A`ulj

7. Wej Ejlfum huoljf och nj b`rmjg br`mC. Eygr`djh huoljf ny pr`ojss `b oecfh rjcotf`hN. Eygr`djh huoljf ter`ude huoljcr bfssf`hO. Eygr`djh huoljf ter`ude huoljcr busf`h G. H`hj `b tejsj

:. Fh tej ct`m n`mn gr`ppjg ny Cmjrfochs fh 367: `h Hcdcsckf, Acpch, tej bfssf`hcnlj mctjrfclusjg wcs

C. Ejlfum 7 N. Ylut`hfum >?6 O. Zrchfum >?: G. Zrchfum >??

2. Wej jhdfhj `b c truok m`vfhd c strcfdet r`cg gjlfvjrs o`hstcht p`wjr. Wej gfstchoj trcvjlljg ny tej truok fh tfmj t  fs pr`p`rtf`hcl t`

C. t   N. t  >  O. ∑t   G. t 

 ?/> 

4. Wej vjl`ofty `b jljotr`h fh dr`uhg stctj `beygr`djh ct`m fs

C. > x 39:

m/sN. > x 392

m/sO. > x 394

m/sG. > x 395

m/s

5. Wej rcgfus `b tej bfrst `rnft `b tej jljotr`h fh c eygr`djh ct`m fs :.? x 39-33 m; tejh tej rcgfus`b tej sjo`hg `rnft must nj

C. 3:.6 x 39-33 m N. 39.2 x 39 m O. >3.> x 39-33 m G. 7>.7 x 39-33 m

6. C pjrs`h pusejs c r`ok `b 3939Kd mcss ny cpplyfhd c b`roj `b `hly 39H b`r aust 7 sjo`hgs.Wej w`rk g`hj fs

C. 3999 A`ulj N. 9 A O. hjcrly zjr` G. p`sftfvj

39. @hj och tckj pfoturjs `b `najots wefoe crj o`mpljtjly fhvfsfnlj t` tej jyj usfhd ocmjrc bflmswefoe crj sjhsftfvj t`

C. ultrc-vf`ljt rcys N. s`gfum lfdet O. vfsfnlj lfdet G. fhbrc-rjg rcys

33. Lfdet br`m c 399 wctt bflcmjht nuln fs pcssjg ter`ude ch jvcouctjg dlcss tunj o`htcfhfhds`gfum vcp`ur ct c efde tjmpjrcturj. Fb tej trchsmfttjg lfdet fs vfjwjg ter`ude c spjotr`mjtjr,wj wfll `nsjrvjC. G3 chg G> lfhjs `b s`gfum wfte d``gfhtjhsfty

N. gcrk lfhjs wejrj G3 chg G> lfhjs se`ulg ecvj njjh `nsjrvjg

O. o`htfhu`us rcgfctf`h br`m tej nuln `hly G. tej jhtfrj jmfssf`h spjotrum `b s`gfum

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3>. Zhgjr tej cotf`h `b c o`hstcht b`roj, c pcrtfolj fs jxpjrfjhofhd c o`hstcht coojljrctf`h.Wej p`wjr fsC. zjr` N. p`sftfvjO. hjdctfvj G. fhorjcsfhd uhfb`rmly

wfte tfmj3?. Fb fh c plchj o`hvjx ljhs tej rcgfus `b ourvcturj `b tej o`hvjx surbcoj fs 39 om chg tej b`oclljhdte `b tej ljhs fs ?9 om, tej rjbrcotfvj fhgjx `b tej mctjrfcl `b tej ljhs wfll nj

C. 3.: N. 3.22 O. 3.?? G. ?

37. C plchj o`hvjx ljhs ecs rcgfus `b ourvcturj ?9 om. Fb tej rjbrcotfvj fhgjx fs 3.??, tej b`oclljhdte `b ljhs fs

C. 39 om N. 69 om O. ?9 om G. 29 om

3:. C njcm `b lfdet fs o`hvjrdfhd t`wcrgs c p`fht F `h c sorjjh. C plchj pcrclljl plctj `b dlcss(tefokhjss fh tej gfrjotf`h `b tej njcm = t, rjbrcotfvj fhgjx = º ) fs fhtr`guojg fh tej pcte `b tej njcm. Wej o`hvjrdjhoj p f̀ht fs sefbtjg ny

C. t (º - 3) cwcy N. t (3 + 3/º ) cwcy O. t (3 - 3/º ) hjcrjr G. t (3 + 3/º ) hjcrjr

32 . Fh V`uhd's g`unlj sflt jxpjrfmjht tej sjpcrctf`h njtwjjh tej sflts fs eclvjg chg tej gfstchoj njtwjjh tej sflts chg sorjjh fs g`unljg. Wej brfhdj wfgte wfll nj

C. uhoechdjg N. eclvjg O. g`unljg G. qucgrupljg

34. Tcvjljhdte `b rjg lfdet fs λ r , vf`ljt rcys fs λ v chg U -rcy fs λ x tejh tej `rgjr `bwcvjljhdtes fs

C. λ x 8λ v 8λ r   N. λ v 8λ x 8λ r   O. λ r  8λ x 8λ v  G. λ r  8λ v 8λ 

35. Wej cm`uht `b w`rk g`hj ny tej lcn`urjr

we` ocrrfjs h nrfoks, jcoe `b mcss m, t` tej r``b`b c e`usj we`sj ejfdet fs e fs

C. h mde  N. mde/h  O. zjr` G. deh/m 

36. Fh LO^ ofrouft fh tej stctj `b rjs`hchoj, wefoe `b tej b`ll`wfhd stctjmjhts fs o`rrjot 0 (o`sς)=

C. 9 N. 9.: O. 3 G. H`hj `b tejsj

>9. Fh LO^ ofrouft, pecsj gfbbjrjhoj njtwjjh v`ltcdj chg ourrjht ochh`t nj

C. 59¹ N. 69¹ O. 37:¹ G. 9¹

>3. Fb spjjg fs pl`ttjg cl`hd x-cxfs chg Kfhjtfo jhjrdy cdcfhst y-cxfs, tejh tej drcpe `ntcfhjg ecsc secpj sfmflcr t` tect `b

C. ofrolj N. jllfpsj O. eypjrn`lc G. pcrcn`lc

>>. C mcdhjtfo hjjglj lyfhd pcrclljl t` c mcdhjtfo bfjlg rjqufrjs w uhfts `b w`rk t` turh ftter`ude 29¹. Wej t`rquj hjjgjg t` mcfhtcfh tej hjjglj fh tefs p`sftf`h wfll njC. (∑ ?) w N. w

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O. (∑ ?w)/> G. >w>?. C vjrtfocl strcfdet o`hguot`r ocrrfjs courrjht vjrtfoclly upwcrgs. C p`fht p lfjs t` tejjcst `b ft ct c smcll gfstchoj chg ch`tejr p`fht S

lfjs t` wjst `b ft ct tej scmj gfstchoj. Wej

mcdhjtfo bfjlg ct p fsC. drjctjr tech ct S N. scmj cs ct S

O. ljss tech ct S

G. drjctjr `r ljss ct S

gjpjhgfhd up`h tejstrjhdte `b tej ourrjht

>7. Fh c pcrclljl crrchdjmjht fb (^3 8 ^>), tej p`wjr gfssfpctjg fh rjsfstchoj ^3 wfll nj

C. ljss tech ^>  N. scmj cs ^>  O. m`rj tech ^>  G. h`hj `b tejsj

>:. B`r c busj wfrj t` nj fhstclljg fh tej supply lfhj fh c e`usj wefoe `hj `b tej b`ll`wfhd fsfmmctjrfcl 0

C. tej spjofbfo rjsfstchoj `b tej mctjrfcl `b tejbusj wfrj

N. tej gfcmjtjr `b tej busj wfrj

O. tej ljhdte `b tej busj wfrj G. h`hj `b tejsj

>2. Fb R fs v`ltcdj cpplfjg, J c fs jmb gr`p cor`ss tej crmcturj, tej crmcturj ourrjht `b c g.o.m`t`r F c fs dfvjh ny

C. (R + J c)/ ^c  N. J c/ ^c  O. R- J c/ ^c  G. R / ^c 

>4. Wej ourrjht `b >.9 cmpjrjs pcssjs ter`ude c ojll `b j.m.b. 3.: v`lts ecvfhd fhtjrhcl rjsfstchoj`b 9.3:™ . Wej p`tjhtfcl gfbbjrjhoj mjcsurjg fh v`lts cor`ss n`te tej tjrmfhcls `b tej ojll wfll nj

C. 3.?: N. 3.:9 O. 3.99 G. 3.>9

>5. Fh tefs ofrouft, ourrjht rctf` f3/f> gjpjhgs up`h

C. ^ 3, ^ >chg ^

N. ^, ^ 3,^ > chg J

O. ^ 3 chg^ > 

G. J chg ^ 

>6. C ojll `b jmb J fs o`hhjotjg cor`ss c rjsfstchoj r. Wej p`tjhtfcl gfbbjrjhoj njtwjjh tejtjrmfhcls `b tej ojll fs b`uhg t` nj R. Wej fhtjrhcl rjsfstchoj `b tej ojll must nj

C. >(J - R)R/r N. >(J - R)r/J O. (J - R) r/R G. (J- R)/r

?9. O`ppjr chg djrmchfum crj n`te o``ljg t` 49 K br`m r``m tjmpjrcturj, tejhC. rjsfstchoj `b o`ppjr fhorjcsjs weflj tect `bdjrmchfum gjorjcsjs

N. rjsfstchoj `b o`ppjr gjorjcsjs weflj tect `bdjrmchfum fhorjcsjs

O. rjsfstchoj `b n`te gjorjcsjs G. rjsfstchoj `b n`te fhorjcsjs

?3. Wej p`tjhtfcl gfbbjrjhoj njtwjjh tej p`fhts C chg N `b tej jljotrfocl ofrouft dfvjh fs

C. 3.: R N. 3.9 R

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?>. C m`vfhd o`fl dclvch`mjtjr ecs c rjsfstchoj`b 6.5™ chg dfvjs c bull soclj gjbljotf`h wejh courrjht `b 39 mC pcssjs tnr`ude ft. Wej vcluj `btej seuht rjqufrjg t` o`hvjrt ft fht` c mfhfcmmjtjr t` mjcsurj ourrjht upt` :99 mC fs

C. 9.9>™  N. 9.>™  O. >™  G. 9.7™ 

??. Wej t`tcl jljotrfocl rjsfstchoj njtwjjh tej p`fhts C chg N `b tej ofrouft se`wh fh tej bfdurj fs

C. 6.9> ™  C. 3: ™ 

O. ?9 ™  G. 399 ™ 

?7. Fb tej plctjs `b c oecrdjg pcrclljl plctj ocpcoft`r crj pulljg cwcy br`m jcoe `tejr

C. ocpcoftchojfhorjcsjs N. jhjrdy fhorjcsjs O. v`ltcdj fhorjcsjs G. v`ltcdj gjorjcsjs

?:. C pcrclljl plctj ocpcoft`r fs oecrdjg ny o`hhjotfhd fts plctjs t` tej tjrmfhcls `b c ncttjry. Wej ncttjry rjmcfhs o`hhjotjg chg c dlcss plctj fs fhtjrp`sjg njtwjjh tej plctjs `b tej ocpcoft r̀,tejh

C. tej oecrdj `h plctjs wfll nj rjguojg

N. tej oecrdj `h plctjs wfll fhorjcsj

O. tej p`tjhtfcl gfbbjrjhoj njtwjjh tej plctjs `b tej ocpcoft`r wfll nj rjguojg

G. tej p`tjhtfcl gfbbjrjhoj njtwjjh tej plctjs `b tej ocpcoft`r wfll fhorjcsj

?2. C pjrs`h wjfdefhd 49Kd wt lfbts c mcss `b ?9 Kd t` tej r``b `b c nuflgfhd 39 m efde. Fb ejtckjs :9 sjo t` g` s`,tejh tej p`wjr spjht fs

C. 36.2 T N. 362 T O. ?99 T G. :9 T

?4. T`rk g`hj fh ocrryfhd c oecrdj q br`m C t` N cl`hd c sjmf-ofrolj fs

C. >ωrq  N. 7ωrq 

O. ωrq  G. 9

?5. C pcrtfolj C ecs oecrdj +q chg pcrtfolj N ecs oecrdj +7q wfte jcoe `b tejm ecvfhd tej scmjmcss m. Tejh cll`wjg t` bcll br`m rjst ter`ude scmj jljotrfocl p`tjhtfcl gfbbjrjhoj, tej rctf` `btejfr spjjg R C 1 R N wfll njo`mj

C. >13 N. 31> O. 317 G. 713

?6. Wej jljotrfo bfjlg ct c smcll gfstchoj ^ br`m ch fhbfhftjly l`hd plchj sejjt fs gfrjotly pr`p`rtf`hcl t`

C. ^ >/> N. ^/> O. ^ ->  G. h`hj `b tejsj

79. Fh tej gfcdrcm, tej jljotrfo bfjlg fhtjhsfty wfll nj zjr` ct c gfstchoj

C. njtwjjh -q chg +>q oecrdj N. t`wcrgs +>q `h tej lfhj grcwh

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O. cwcy br`m tej lfhj t`wcrgs+>q

G. cwcy br`m tej lfhj t`wcrgs -q 

73. Tjfh's gfsplcojmjht lcw fs dfvjh ny

C. λ m =o`hstcht

N. W/λ m =o`hstcht

O. λ m W =o`hstcht

G. W = λ m = o`hstcht

7>. Fb tw` jljotr`hs crj b`rojg t` o`mj ol`sjr t` jcoe t` jcoe `tejr, tejh tej p`tjhtfcl jhjrdy

C. njo`mjs zjr` N. fhorjcsjs O. gjorjcsjs G. njo`mjs fhbfhftj

7?. Wej spjofbfo ejct ct o`hstcht prjssurj fs drjctjr tech tect `b tej scmj dcs ct o`hstcht v`lumj njocusj

C. ct o`hstcht v`lumj w`rk fs g`hj fh jxpchgfhd tej dcs

N. ct o`hstcht prjssurj w`rk fs g`hj fh jxpchgfhd tej dcs

O. tej m`ljoulcr cttrcotf`h fhorjcsjs m`rj ct o`hstcht prjssurj

G. tej m`ljoulcr vfnrctf`h fhorjcsjs m`rj ct o`hstcht prjssurj

77. Wej spjofbfo ejcts `b O@> ct o`hstcht prjssurj chg o`hstcht v`lumj crj 9.5?? A/kd.K chg9.273 A/kd.K rjspjotfvjly. Fb m`ljoulcr wjfdet `b O@> fs 77, wect fs tej uhfvjrscl o`hstcht ^0 

C. 7.36 x 394 jrd/ocl N. 575.5 A/dm/K O. 5.775 A/m`l/K G. 7.36 A/ocl

7:. Wej brjjzfhd p`fht `b tej lfqufgs gjorjcsjs wejh prjssurj fs fhorjcsjg, fb tej lfqufgC. jxpchgs weflj brjjzfhd N. o`htrcots weflj brjjzfhdO. g`js h`t oechdj fh v`lumj weflj brjjzfhd G. h`hj72. Wej jquctf`h `b c trchsvjrsj wcvj `h cstrjtoejg strfhd fs dfvjh nyy = 9.9: sfh ω (>t/9.99> -x/9.3 ) wejrj x chg y

crj jxprjssjg fh mjtrjs chg t fh sjo.Wej spjjg `b tej wcvj fs

C.399m/sjo

N. :9 m/s O. >99 m/s G. 799 m/s

74. Wej rctf` `b vjl`ofty `b tej n`gy t` tej vjl`ofty `b s`uhg fs oclljg

C. Mcdfo humnjr N. Lcplcoj humnjr O. Hcturcl humnjr G. Mcoe humnjr

75. Wjljvfsf`h sfdhcls `h jcrte ochh`t nj rjojfvjg ct gfstchojs drjctjr tech 399 km br`m tejtrchsmfssf`h stctf`h. Wej rjcs`h njefhg tefs fs tect

C. tej rjojfvjr chtjhhc fs uhcnlj t` gjtjot tej sfdhcl ct c gfstchoj drjctjr tech 399 kmN. tej WR pr`drcmmj o`hsfsts `b n`te cugf` chg vfgj` sfdhcls

O. tej WR sfdhcls crj ljss p`wjrbul tech rcgf` sfdhcls

G. tej surbcoj `b jcrte fs ourvjg lfkj c spejrj

76. C ncll fs ter`wh br`m c ejfdet `b e m wfte ch fhftfcl g`whwcrg vjl`ofty v9. Ft efts tej dr`uhg,l`sjs eclb `b fts Kfhjtfo jhjrdy & n`uhojs ncok t` tej scmj ejfdet. Wej vcluj `b v9 fs

C. ∑>de  N. ∑de  O. ∑?de  G. ∑>.:de 

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:9. C tefok r`pj `b runnjr `b gjhsfty 3.: x 39?

kd/m? chg V`uhd's m`gulus : x 392 H/m>, 5m fhljhdte, wejh euhd br`m ojflfhd `b c r``m, tejfhorjcsj fh ljhdte guj t` fts `wh wjfdet fs

C. 6.2 x 39-

?

m

N. 36.> x

39-:

m

O. 6.2om G. 6.2mm

:3. Tctjr fs bcllfhd `h tej nlcgjs `b c turnfhj ct c rctj 2999Kd/mfh. Wej ejfdet `b tej bcllfs399m. Tect fs tej p`wjr dcfhjg ny tej turnfhj0

C. 39KT N. 2KT O. 399KT G. 299KT

:>. Fb m`mjhtum `b clpec-pcrtfolj, hjutr`h, pr`t`h, chg jljotr`h crj tej scmj, tej mfhfmumK.J. fs tect `b

C. clpec-pcrtfolj N. hjutr`h O. pr`t`h G. jljotr`h

:?. Ch jljotrfo m`t`r weflj lfbtfhd c dfvjh l`cg pr`guojs c tjhsf`h `b 7:99 H fh tej ocnljcttcoejg t` tej l`cg. Fb tej m`t`r wfhgs tej ocnlj ct tej rctj `b >m/s, tejh p`wjr must nj

C. 6 kT N. 3: kT O. >>: kT G. 6999 E.Y

:7. Fb ch jljotrfo fr`h jljotr`hs crj coojljrctjg ter`ude c p`tjhtfcl gfbbjrjhoj `b R v`lts. Wckfhdjljotr`hfo oecrdj chg mcss t` nj rjspjotfvjly j chg m, tej mcxfmum vjl`ofty cttcfhjg ny tejjljotr`hs fs

C. >jR/∑m N. ∑(>jR)/m  O. >m/jR G. v> / 5jm

::. C pcrtfolj fs m`vfhd `h c ofroulcr trcok `b rcgfus >9 om wfte c o`hstcht spjjg `b 2 m/s. Ftscoojljrctf`h fs

C. 9 N. 359 m/s>  O. 3.> m/s>  G. ?2 m/s> 

:2. C sctjllftj `b tej jcrte fs rjv`lvfhd fh c ofroulcr `rnft

wfte c uhfb`rm spjjg v. Fb drcvftctf`hcl b`roj suggjhlygfscppjcrs, tej sctjllftj wfll1

C. o`htfhuj t` m`vj wfte tej spjjg v cl`hd tej `rfdfhcl `rnft

N. m`vj wfte tej vjl`ofty v tchdjhtfclly t` tej `rfdfhcl `rnft

O. bcll g`whwcrg wfte fhorjcsfhd vjl`ofty

G. ultfmctjly o`mj t` rjst s`mjwejrj `h tej `rfdfhcl `rnft

:4. Wej kfhjtfo jhjrdy K  `b c pcrtfolj m`vfhd cl`hd c ofrolj `b rcgfus ^ gjpjhgs `h tej gfstchojo`vjrjg s cs K = cs

>. Wej b`roj cotfhd `h tej pcrt3olj fs

C. >cs>/ ^  N. >cs(3 + s

>/ ^)3/>  O. cs(3 + s>/ ^>)3/>  G. H`hj `b tejsj

:5. Jfhstjfh wcs cwcrgjg H`njl Yrfzj b`r efs w`rk fhC. Ye`t`jljotrfo jbbjot N. _pjofcl tej`ry `b rjlctfvftyO. Djhjrcl tej`ry `b rjlctfvfty G. H`hj `b tejsj

:6. @hj sjo`hg fs gjbfhjg t` nj jqucl t`C. 32:942?.4? pjrf`gs `b tej Krypt`h ol`ok N. 2:>356.2? pjrf`gs `b tej Krypt`h ol`okO. 32:942?.4? pjrf`gs `b tej Ojsfum ol`ok G. 636>2?3449 pjrf`gs ̀ b tej Ojsfum ol`ok

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29. Wej gfmjhsf`hs `b jhjrdy chg t`rquj rjspjotfvjly crj

C. ML>W 

-> chg ML

>W 

->  N. MLW > chg ML

>W 

->  O. ML>W 

-> chg  MLW 

->  G. MLW ->

 chg  MLW -> 

23. Tejh Njhzjhj gfcz`hfum oel`rfgj rjcots wfte eyp`pe`spe r̀`us cofg, ft pr`guojs

C. njhzjhj N. pejh`l O. pejhylpe`speftj G. pejhylpe s̀pectj

2>. Wej rjcotf`h `b clfpectfo prfmcry cmfhj wfte hftr`us cofg fh o`lg pr`guojs

C. hftrflj N. clo`e`l O. gfcz`hfum sclt G. sjo`hgcry cmfhj

2?. Jteylcmfhj och nj prjpcrjg ny tej cotf`h `b nr`mfhj chg ocustfo p`tcse `h

C. cojtcmfgj N. pr`pf`hcmfgj O. b`rmcmfgj G. mjteyl oychfgj

27. Wej clg`l o`hgjhsctf`h `b cojtclgjeygj rjsults fh tej b`rmctf`h `bC. OE?O@OE@EOE?  N. OE?OE@EOE>OE@ O. OE?OE>OE@EOE@ G. OE?OE>@E +

OE?O@@E

2:. Tefoe o`mp`uhg rjcots bcstjst wfte Luocs rjcdjht ct r``m tjmpjrcturj0C. Nutch-l-`l N. Nutch->-`l O. >-Mjteyl pr`pch-l- l̀

G. >-Mjteyl pr`pch->-`l

22. Wej rjcotf`h wfte G>@, (OE?)?OMdOl pr`guojs

C. (OE?)?OG N. (OE?)?O@ O. (OG?)?OG G. (OG?)?O@G

24. Wej rjcotf`h wfte clo`e`lfo p`tcse, l-oel`r`nutchj dfvjs

C. 3-Nutjhj N. 3-Nutch`l O. >-Nutjhj G. >-Nutch`l

25. Wej cotfvj hftrctfhd cdjht gurfhd hftrctf`h `b njhzjhj fs

C. H@?-  N. EH@>

-  O. H@>-  G. EH@? 

26. Wej humnjr `b sfdmc chg pf n`hgs fh 3-nutjh-?-yhj crj

C. : sfdmc chg : pf N. 4 sfdmc chg ? pf O. 5 sfdmc chg > pf G. 2 sfdmc chg 7 pf

49. Wej m`st stcnlj ocrn`hfum f`h cm`hd tej octf`hs fs

C. sjo-nutyl N. tjr-nutyl O. h-nutyl G. h`hj `b tejsj

43. E`w mchy `ptfoclly cotfvj stjrj`-fs`mjrs crj p`ssfnlj b`r nutchj->, ?-gf`l0C. 3 N. > O. ? G. 7

4>. N.Y. chg M.Y. `b fhjrt dcsjs crjC. efde N. l`w O. vjry efde G. vjry l`w

4?. [O@(HE?):Nr] _@7 chg [O@(HE?): _@7] Nr crj jxcmpljs `b wefoe typj `b fs`mjrfsm 0

C. Lfhkcdj N. Dj`mjtrfocl O. F`hfzctf`h G. @ptfocl

47. Wej vcljhoy `b Or fh tej o`mpljx [Or(E>@)7 Ol>]+ fs

C. ? N. 3 O. 2 G. :

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4:. Fh Hjssljr's rjcdjht, tej f`h fs

C. Ed+  N. Ed>+  O. EdF>> -  G. EdF7

> - 

42. Fh s`lfg Ou_@7.:E>@, o`ppjr fs o`-`rgfhctjg t`

C. bfvj wctjr m`ljouljs N. b`ur wctjr m`ljouljs O. `hj sulpectj f`h G. `hj wctjr m`ljoulj

44. Tefoe `b tej b`ll`wfhd fs c wjck cofg0

C. EOl N. ENr O. EY G. EF

45. Tejh _@> fs pcssjg ter`ude cofgfbfjg K >Or >@4 s`lutf`h,C. tej s`lutf`h turhs nluj N. tej s`lutf`h fs gjo`l`urfsjgO. _@> fs rjguojg G. drjjh Or >(_@7)? fs b`rmjg

46. Tefoe `b tej b`ll`wfhd ecs l`wjst n`flfhd p`fht0

C. E>@ N. E>_ O. E>_j G. E>Wj

59. Hftrfo `xfgj fs prjpcrjg ny tej cotf`h `b gfl. EH@? `h

C. Bj N. Ou O. Qh G. _h

53. Wej lcudefhd dcs fs

C. hftr`us`xfgj

N. hftrfo`xfgj

O. hftr`djhtrf`xfgj

G. hftr`djh pjhtc`xfgj

5>. @rgfhcry dlcss fs

C. s`gfum sflfoctj N. oclofum sflfoctj

O. oclofum chg _`gfum sflfoctj G. o`ppjr sflfoctj

5?. Wej oejmfocl hcmj `b pe`sdjhj fs

C. Ye`spejhj N. Ocrn`hyl oel`rfgjO. Ye`spe`r`us`xyoel`rfgj

G. Ye`spe`r`ustrfoel`rfgj

57. Tefoe `hj `b tej b`ll`wfhd fs str`hdjst Ljwfs cofg0C. NB?  N. NOl?  O. NNr ?  G. NF? 

5:. Werjj ojhtrjg n`hg fs prjsjht fh

C. HE?  N. N>E2  O. NOl?  G. ClOl? 

52. Ylcstjr `b Ycrfs fs

C. [email protected]>@ N. Oc_@7.>E>@ O. [email protected]/> E>@ G. Oc_@7.?/> E>@54. ^`oky fmpurftfjs prjsjht fh c mfhjrcl crjoclljg

C. blux N. dchduj O. mcttj G. slcd

55. Brjj eygr`djh fs b`uhg fh

C. cofgs N. wctjr O. mcrse dcs G. wctjr dcs

56. Tejh zj`lftj, wefoe fs eygrctjg s`gfum clumfhfum sflfoctj, fs trjctjg wfte ecrg wctjr; tej

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s`gfum f`hs crj jxoechdjg wfte

C. E+  N. K +  O. _@7>-  G. Md>+ 

69. @h pcssfhd 9.? bcrcgcy `b jljotrfofty ter`ude clumfhfum oel`rfgj, tej cm`uht `b clumfhfummjtcl gjp`sftjg `h octe`gj fs (Cl = >4)C. 9.>4 d N. 9.? d O. >.4 d G. 9.6 d

63. Wej mfdrctf`h `b o`ll`fgcl pcrtfoljs uhgjr fhblujhoj `b ch jljotrfo bfjlg fs kh`wh cs

C. Jljotr`-`sm`sfs N. Nr`whfch m`vjmjht O. Octcpe`rjsfs G. Gfclysfs

6>. Fh c o`ll`fgcl stctj, pcrtfolj sfzj rchdjs br`m

C. 3 t` 39 C`  N. >9 t` :9 C`  O. 39 t` 3999 C`  G. 3 t` >59 C` 

6?. Wej eclb-lfbj `b c bfrst `rgjr rjcotf`h fs 26.?:. Wej vcluj `b rctj o`hstcht `b tej rjcotf`h fs

C. 3.9:-3  N. 9.3:-3  O. 9.93:-3  G. 9.993:-3 

67. Ejct `b hjutrclfsctf`h `b c str`hd cofg chgstr`hd ncsj fs clwcys

C. 3?.4

Kocl/m`l

N. 6.2

Kocl/m`l

O. 2

Kocl/m`l

G. 33.7

Kocl/m`l

6:. Fh jx`tejrmfo rjcotf`hs,

C. E^  =EY  N. E^  8EY  O. E^  < EY  G. H`hj `b tej cn`vj

62. Tefoe fs c nubbjr s`lutf`h0

C. OE?O@@E +OE?O@@Hc

N. OE?O@@E +OE?O@@HE7 

O. OE?O@@E + HE7Ol G. Hc@E + HcOl

64. Wej pE `b 9.93 M s`lutf`h `b EOl fsC. 3.9 N. >.9 O. 39.9 G. 33.9

65. Fh wefoe `b tej b`ll`wfhd ocsj g`js tej rjcotf`h d` bcstjst t` o`mpljtf`h0

C. k = 39>  N. k = 39 ->  O. k = 39 G. k = 3

66. Tect quchtfty `b lfmjst`hj (OcO@?) `h ejctfhd wfll dfvj >5 kd `b Oc@0

C. 3999 kd N. :2 kd O. 77 kd G. :9 kd

399. Wej pjrojhtcdj `b `xydjh fh Hc@E fs

C. 79 N. 32 O. 35 G. 39

393. Fb wj tckj 77 d `b O@> chg 37 d `b H>,wect wfll nj tej m`lj brcotf`h `b O@> fh tej

mfxturj0C. 3/: N. 3/? O. 3/> G. 3/7

39>. Wej m`lcrfty `b c s`lutf`h `b Hc>O@? ecvfhd :.? d/>:9 ml `b s`lutf`h fs

C. 9.> M N. > M O. >9 M G. 9.9> M

39?. C dcs fs fhftfclly ct 3 ctm prjssurj. W` o`mprjss ft t` 3/>te `b fts fhftfcl v`lumj, prjssurj t` nj cpplfjg fs

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C. 3 ctm N. 7 ctm O. > ctm G. 3/7 ctm

397. Wej vcluj `b ^ fh ocl`rfj/gjdrjj/m`lj fsC. 9.95?3 N. 5.?3 O. 5.?3 x 394  G. 3.654

39:. Tefoe `b tej b`ll`wfhd p`ssjssjs zjr` rjsfstchoj ct 9 K0C. O`hguot`rs N. _jmf-o`hguot`rs O. _upjr-o`hguot r̀s G. Fhsulct`rs

392. OsOl ecs lcttfoj `b tej typj

C. oop N. boo O. noo G. eop

394. Fh tej rjcotf`h njtwjjh s`gfum chg oel`rfhj t` b`rm s`gfum oel`rfgj,

C. s`gfum ct`m fsrjguojg

N. s`gfum f`h fsrjguojg

O. oel`rfhj ct`m fsrjguojg

G. oel`rfgj f`h fsrjguojg

395. @otcejgrcl m`ljoulcr secpj jxfsts fh PPPPPP eynrfgfsctf`h.

C. sp?g N. sp?g >  O. sp?g ?  G. sp>g > 

396. HE? chg NB? b`rm ch cgguot rjcgfly njocusj tejy b`rm

C. c o`-`rgfhctj n`hg N. c o`vcljht n`hg O. ch f`hfo n`hg G. c eygr`djh n`hg

339. Gfcd`hcl rjlctf`hsefp jxfsts njtwjjh

C. Lf chg Md N. Hc chg Md O. K chg Md G. Cl chg Md

333. Tefoe jljmjht ecs tej efdejst jljotr`-hjdctfvfty0C. B N. Ej O. Hj G. Hc

33>. L`ss `b c -pcrtfolj fs jqufvcljht t`

C. l`ss `b tw` hjutr`hs `hly N. l`ss `b tw` pr`t`hs `hly

O. l`ss `b tw` hjutr`hs chg l`ss `b tw` pr`t`hs G. h`hj `b tej cn`vj

33?. _tcnlj o`mp`uhgs fh + 3 `xfgctf`h stctj crj b`rmjg ny

C. N N. Cl O. Dc G. We

337. _`gfum ejxcmjtcpe`spectj fs usjg cs

C. c oljchsfhd cdjht N. ch fhsjotfofgj O. c wctjr s`bthjrG. ch fr`h jxoechdjrjsfh

33:. Wej str`hdjst cofg fs

C.Ol@?(@E) N.Ol@>(@E) O._@(@E)>  G._@>(@E)> 

332. Tefoe `hj cm`hd tej b`ll`wfhd pcfrs `b f`hs ochh`t nj sjpcrctjg ny E>_ fh gflutjeygr`oel`rfo cofg0

C. Nf?+, _h7+  N. Cl?+, Ed>+  O. Qh>+, Ou>+  G. Hf>+, Ou>+ 

334. Wej clkchj w`ulg ecvj `hly tej prfmcry chg tjrtfcry ocrn`h fs

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C. Yjhtchj N. >-mjteylnutchjO. >, >-gfmjteylpr`pchj

G. >, ?-gfmjteylnutchj

335. Wej pr`guot `b rjcotf`h `b clo`e`lfo sflvjr hftrftj wfte jtey3 nr`mfgj fsC. jtechj N. jtejhj O. hftr`jtechj G. jteyl c3o`e`3

336. B`rmy3 oel`rfgj ecs h`t njjh s` prjpcrjg. Tefoe `hj `b tej b`ll`wfhd och buhotf`h csb`rmyl oel`rfgj fh b`rmulctf`h0

C. EOE@ + EOl N. EO@@OE? + EOl O. O@ + EOl G. EO@HE> + EOl

3>9. Cm`hdst tej b`ll`wfhd, tej m`st ncsfo o`mp`uhg fs

C. Njhzylcrhfhj N. Chflfhj O. Cojtchflfgj G. p-Hftr`chflfhj

3>3. Fb tej r``ts `b x> - nx + o = 9 crjo`hsjoutfvj fhtjdjrs, tejh n> - 7o fs jqucl t`

C. 7 N. ? O. > G. 3

3>>. O`hgftf`h tect tej tw` lfhjs rjprjsjhtjg ny tej jquctf`h cx> + >exy + ny> = 9 t` tej pjrpjhgfoulcr fsC. c = - n N. cn = 3 O. c = n G. cn = -3

3>?. Fb C ⊂ N, tejh C ∦ N fs jqucl t`

C. No  N. Co  O. N G. C

3>7. Fh `rgjr tect tej buhotf`h b(x) = (x + 3) o`t x fs o`htfhu`us ct x = 9, b(9) must nj gjbfhjg cs

C. b(9) = 9 N. b(9) = j O. b(9) = 3/j G. h`hj `b tej cn`vj

3>:. Wej joojhtrfofty `b tej jllfpsj 32x>

 + 4y>

 = 33> fsC. 7/? N. 4/32 O. ?/∑4 G. ?/7

3>2. Fb z3, z>, z? crj terjj o`mpljx humnjrs fh C.Y., tejh tejy lfj `h

C. c ofrolj N. ch jllfpsj O. c strcfdet lfhj G. c pcrcn`lc

3>4. Fb [(c> + 3)>]/(>c - f) = x + fy, tejh x> + y> fsjqucl t`

C. [(c> +3)7]/(7c> +3)

N. [(c +3)>]/(7c> +3)

O. [(c> -3)>]/(7c> -3)> 

G. h`hj `btej cn`vj

3>5. Wej vjrtfojs `b c trfchdlj crj (9, 9), (?, 9) chg (9, 7). Fts `rte`ojhtrj fs ctC. (?/>, >) N. (9, 9) O. (3, 7/?) G. h`hj `b tej cn`vj

3>6. Wej joojhtrfofty `b tej o`hfo 6x> - 32y> = 377 fs

C. :/7 N. 7/? O. 7/: G. ∑4

3?9. Wej vjrtfojs `b c trfchdlj crj (9, ?), (-?, 9) chg (?, 9). Wej o`-`rgfhctjs `b fts `rte`ojhtrj crj

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C. (9, >) N. (9, -?) O. (9, ?) G. (9, ->)

3?3. Fb t fs tej pcrcmjtjr b`r `hj jhg `b c b`ocl oe`rg `b tej pcrcn`lc y> = 7cx, tejh fts ljhdte fs

C. c [t - (3/t)] N. c [t + (3/t)] O. c [t - (3/t)]>  G. c [t + (3/t)]> 

3?>. Wej vcluj `b o`s> ε + sjo> ε fs clwcysC. jqucl t` 3 N. ljss tech 3

O. drjctjr tech `r jqucl t` > G. drjctjr tech 3, nut ljss tech >

3??. Wej humnjr `b p`fhts `b fhtjrsjotf`h `b >y= 3 chg y = sfh x, ->ω ≧ x ≧ >ω fs

C. > N. ? O. 7 G. 3

3?7. Fb sfh ε3 + sfh ε> + sfh ε? = ?, tejh o`s ε3 + o`s ε> + o`s ε? =C. 9 N. 3 O. > G. ?

3?:. Wej humnjr `b s`lutf`hs fh 9 ≧ x ≧ ω/> `b tej jquctf`h o`s ?x tch :x = sfh 4x fsC. : N. 4 O. 2 G. h`hj `b tej cn`vj

3?2. @hj jhg `b c gfcmjtjr `b tej ofrolj x> + y> - 7x - >y - 7 = 9 fs (:, -2), tej `tejr jhg fs

C. (7, -6) N. (-6, -7) O. (7, 6) G. (6, -7)

3?4. Wej sjt `b vclujs `b m b`r wefoe n`te tej r``ts `b tej jquctf`h x> - (m + 3)x + m + 7 = 9 crjrjcl chg hjdctfvj o`hsfsts `b cll m, suoe tect

C. -? ≪ m `r m ≪ : N. -? < m ≧ : O. - 7 < m ≧ -? G. -? < m ≧ -3

3?5. Ljt Yh(x) = 3 + >x + ?x>

 + ......

 + (h + 3) xh

 nj c p`lyh`mfcl suoe tect h fs jvjh. Wejh tejhumnjr `b rjcl r``ts `b Y(x) = 9 fs

C. 3 N. h O. 9 G. h`hj `b tej cn`vj

3?6. Wej hjxt tjrm `b tej sjqujhoj 3, ?, 2, 39,........ fs

C. 32 N. 3? O. 3: G. 37

379. Fb E fs tej ecrm`hfo mjch njtwjjh Y chg S, tejh E/Y + E/S fsC. (Y + S)/YS N. YS/(Y + S) O. > G. h`hj `b tej cn`vj

373. C olcss fs o`mp`sjg `b tw` nr`tejrs chg sfx `tejr n`ys. Fh e`w mchy wcys och cll tej n`ys nj sjctjg ct c r`uhg tcnlj s` tect tej tw` nr`tejrs crj h`t sjctjg njsfgjs jcoe `tejr0C. 7?>9 N. ?299 O. 4>9 G. 3779

37>. Wej nfh`mfcl o`jbbfofjht `b tej 7te tjrm fh tej jxpchsf`h `b (x - q): fs

C. 3: N. >9 O. 39 G. :

37?. B`r x ≩ 9, tej tjrm fhgjpjhgjht `b x fh tej jxpchsf`h `b (x - x -3) fs jqucl t`

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C. >hOh  N. [(-3)h] [>hOh] O. [(-3)h] [>hOh + 3] G. >hOh + 3 

377.k 

c3 

c> 

c? 

n3 

n> 

n? 

o3 

o> 

o? 

fs

jquclt` 

C.

c3 

c> 

kc? 

 n3 

kn> 

 n? 

ko3 

o> 

o? 

N.

kc3 

kc> 

kc? 

kn3 

kn> 

kn? 

ko3 

ko> 

ko? 

O.

kc3 

kc> 

kc? 

 n3 

 n> 

 n? 

o3 

o> 

o? 

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G.

kc3 

c> 

c? 

 n3 

kn> 

 n? 

o3 

o> 

ko? 

37:. @hj

r``t `b tej

jquctf`h 

?x -

?x -

?x -

= 9 fs wefoe

`b tej

b`ll`wfhd0 

C. >/? N. 5/? O. 32/? G. 3/?

372. Fb | C | = 

r chg | N | =

 

-p 

-n 

-o 

-x 

z , tejh 

C. | C | = > | N | N. | C | = | N | O. | C | = - | N | G. h`hj `b tej cn`vj

374. Jquctf`h `b tej spejrj wfte ojhtrj (3, -3, 3) chg rcgfus jqucl t` tect `b spejrj >x> + >y> +>z> - >x + 7y - 2z = 3 fs

C. x> + y> + z> - >x + >y - >z + 3 = 9 N. x> + y> + z> + >x - >y + >z + 3 = 9

O. x> + y> + z> - >x + >y - >z - 3 = 9 G. h`hj `b tej cn`vj

375. Jquctf`h `b tej lfhj pcssfhd ter`ude tej

 p`fht (3, 3, 3) chg pcrclljl t` tej plchj >x + ?y +?z + : = 9 fs

C. (x - 3)/3 = (y - 3)/> =(z - 3)/3

N. (x - 3)/-3 = (y - 3)/3= (z - 3)/-3

O. (x - 3)/? = (y - 3)/> =(z - 3)/3

G. (x - 3)/> = (y - 3)/? =(z - 3)/3

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376. Fb c, n, o crj o`hstchts suoe tect c chg o crj `b `pp`sftj sfdhs chg r fs tej o`rrjlctf`ho`jbbfofjht njtwjjh x chg y, tejh tej o`rrjlctf`h o`jbbfofjht njtwjjh cx + n chg oy + g fsC. (c/o)r N. r O. - r G. (o/c)r

3:9. Br`m c gjok `b :> ocrgs, tej pr`ncnflfty `b grcwfhd c o`urt ocrg fs

C. ?/3? N. 3/7 O. 7/3? G. 3/3?

3:3. C nfh`mfcl pr`ncnflfty gfstrfnutf`h fs symmjtrfocl fb p, tej pr`ncnflfty `b suoojss fh c sfhdljtrfcl, fs

C. 8 3/> N. < 3/> O. < q, wejrj q = 3 - p G. = 3/>

3:>. Wej nfh`mfcl gfstrfnutf`h we`sj mjch fs 39 chg _.G. fs >∑> fs

C. (7/: + 3/:):9  N. (7/: + 3/:)3/:9  O. (7/: + :/3):9  G. h`hj `b tej cn`vj

3:?. tch (o`t -3x) fs jqucl t`

C. ω/7 - xN. o`t (tch -3x) O. tch x G. h`hj `b tej cn`vj

3:7. Fb b(x) fs ch `gg pjrf`gfo buhotf`h wfte pjrf`g >, tejh b(7) jqucls

C. - 7 N. 7 O. > G. 9

3::. Wej buhotf`h b(x) = [(x? + x> - 32x + >9)]/(x - >) fs h`t gjbfhjg b`r x = >. Fh `rgjr t` mckjb(x) o`htfhu`us ct x = >, b(>) se`ulg nj gjbfhjg csC. 9 N. 3 O. > G. ?

3:2. Ljt b chg d nj gfbbjrjhtfcnlj buhotf`hs sctfsbyfhd d'(c) = >, d(c) = n, chg b`d = 3 (fgjhtftybuhotf`h). Wejh b'(n) fs jqucl t`

C. 9 N. >/? O. 3/> G. h`hj `b tej cn`vj

3:4. C o`hj `b mcxfmum v`lumj fs fhsorfnjg fh c dfvjh spejrj. Wejh tej rctf` `b tej ejfdet `btej o`hj t` tej gfcmjtjr `b tej spejrj fs

C. ?/7 N. 3/? O. 3/7 G. >/?

3:5. Wej buhotf`h fs gjorjcsfhd fh tej fhtjrvcl

C. - ∘ < x < -39/? N. 9 < x < ∘  O. -? < x < ? G. -39/? < x < 9

3:6. _upp`sj tect b''(x) fs

o`htfhu`us b`r cll x chg

b(9) = b'(3). Fb

tb'(t) gt = 9,

tejh tej vcluj `b b(3) fs 

C. ? N. > O. 6/>G. h`hj `btej cn`vj

329. Fhtjdrctfhd bcot`r `b gfbbjrjhtfcl jquctf`h o`s x (gy/gx) + y sfh x = 3 fsC. sfh x N. sjo x O. tch x G. o`s x

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323. Fbgx/(3 + 7x

>) =

 /5,tejh tej vcluj `b c fs

C. ω/> N. 3/> O. ω/7 G. 3

32>. Wej mcxfmum vcluj `b (l`d x)/x fsC. >/j N. 3/j O. 3 G. j32?. Fb `hj r``t `b tej jquctf`h x> + px + 3> = 9fs 7, weflj tej jquctf`h x> + px + q = 9 ecsjqucl r``ts, tejh tej vcluj `b q fs

C. 76/7 N. 7/76 O. 7G. h`hj `btej cn`vj

327. Wej sum `b tej sjrfjs 3/> + 3/? + 3/2 + ....... t` 6 tjrms fsC. -:/2 N. -3/> O. 3 G. -?/>

32:. Wej sum `b cll tw` gfdft humnjrs, wefoe crj `gg fs

C. >74: N. >:?9 O. 769: G. :976

322. E`w mchy tjh gfdft humnjrs och nj b`rmjg ny usfhd tej gfdfts ? chg 4 `hly0

C. 39O3 +6O>  N. >39  O. 39O>  G. 39!

324. Fb x chg y crj rjcl chg gfbbjrjht chg u = x> + 7y> + 6z> - 2xyz - ?zx - >xy, tejh u fs clwcys

C. h`h-hjdctfvj N. zjr` O. h`h-p`sftfvj G. h`hj `b tej cn`vj

325. Fb c nj c h`h-zjr` vjot`r, tejh wefoe `b tej b`ll`wfhd fs o`rrjot0

C. c . c = 9 N. c . c 8 9 O. c . c ≪ 9 G. c . c ≧ 9326. Fb tw` vjot`rs c chg n crj pcrclljl chg ecvjjqucl mcdhftugjs, tejh

C. tejy crj jqucl N. tejy crj h`t jqucl

O. tejy mcy `r mcy h`t nj jqucl

G. tejy g` h`t ecvj tejscmj gfrjotf`h

349. Fh c trfchdlj, tej ljhdtes `b tej tw` lcrdjr sfgjs crj 39 chg 6 rjspjotfvjly. Fb tej chdljs crjfh C.Y., tejh tej ljhdte `b tej tefrg sfgj och njC. : ³ ∑2 N. ?∑? O. : G. h`hj `b tej cn`vj

343. Wej terjj lfhjs ?x + 7y + 2 = 9, ∑>x + ∑?y + >∑> = 9, chg 7x + 4y + 5 = 9 crj

C. sfgjs `b c trfchdlj N. o`hourrjht O. pcrclljl G. h`hj `b tej cn`vj

34>. Wej p`lj `b tej strcfdet lfhj 6x + y - >5 = 9 wfte rjspjot t` tej ofrolj >x> + >y> - ?x + :y - 4= 9 fs

C. (?, 3) N. (3, ?) O. (?, -3) G. (-?, 3)

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34?. Fb tej sjts C chg N crj gjbfhjg cs C = { (x, y) 1 y = jx, x ∅ ^ }, N = { (x, y) 1 y = x, x ∅ ^ },tejh

C. C ∡ N = C N. C ∦ N = ς  O. C ⊂ N G. N ⊂ C

347. Wej

vcluj `b tej

fhtjdrcl 

{ b(x)/[b(x) + b(>c

- x)] }gx fs jqucl

t` 

C. c N. >c O. ?cG. h`hj `btej cn`vj

34:. Wej sl`pj `b tej h`rmcl ct tej p`fht (ct>, >ct) `b tej pcrcn`lc y> = 7cx fs

C. 3/t N. t O. - t G. -3/t

342. Fb z fs chy o`mpljx humnjr suoe tect | z + 7 | ≧ ?, tejh tej drjctjst vcluj `b | z + 3 | fsC. > N. 2 O. 9 G. - 2

344. Wej jquctf`h o`s x + sfh x = > ecsC. `hly `hj s`lutf`h N. tw` s`lutf`hs

O. h` s`lutf`h G. fhbfhftj humnjr `b s`lutf`hs

345. Wej m`st djhjrcl vcluj `b ε, wefoe sctfsbfjs n`te tej jquctf`hs tch ε = -3 chg o`s ε = 3/∑>wfll nj

C. hω + (4ω/7) N. hω + (-3)h (4ω/7) O. >hω + (4ω/7) G. h`hj `b tej cn`vj

346. C spejrfocl ncll `b rcgfus r plcojg `h tejdr`uhg suntjhgs ch chdlj `b 29` ct c p`fht C `btej dr`uhg. Wejh tej gfstchoj `b tej p`fht Cbr`m tej ojhtrj `b tej ncll fs

C. ?r N. >r O. 7rG. h`hj `btej cn`vj

359. Fh c trfchdlj CNO, c> o`s >N + n> o`s >C + >cn o`s (C - N) fs jqucl t`C. o N. o>  O. >o G. h`hj `b tej cn`vj