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Question Paper 2017-2018 tFg;G : Nky;epiy - ,uz;lhk; Mz;L Neuk; : 3 kzp

ghlk; : fzpjk; CENTUM SPECIAL QUESTION PAPER kjpg;ngz;fs;: 200

PART – A 40 x 1 = 40

Fwpg;G : (i) midj;J tpdhf;fSf;Fk; tpilaspf;f. (ii) nfhLf;fg;gl;l ehd;F tpilfspy; kpfTk; Vw;Gila tpilapid Nju;e;njLj;J FwpaPl;Lld; tpilapidAk; Nru;j;J vOJf.

1. A vd;w mzpapd; tupir 3> vdpy; det (kA)vd;gJ

a. (b) (c) (d)

2. A, B vd;w VNjDk; ,U mzpfSf;F AB = O vd;W ,Ue;J

NkYk; A xU G+r;rpakw;w Nfhit mzp vdpy;>

a. B = O b. B xU G+r;rpaf; Nfhit mzp

c. B xU G+r;rpakw;w Nfhit mzp d. B = A

3. – vd;w rkd;ghLfs;

vDkhW mikAkhapd; mj;njhFg;gpd; jPu;T

a. xNu xU G+r;rpakw;w jPu;T b. ntspg;gilj; jPu;T

c. vz;zpf;ifaw;w jPu;T d. jPu;T ,y;yhik ngw;W ,Uf;Fk;

4. vdpy; rkd;ghLfspd; njhFg;ghdJ

a. xUq;fikT cilaJ kw;Wj; xNu xU jPu;T cz;L

b. xUq;fikT cilaJ kw;Wk; vz;zpf;ifaw;w jPu;Tfs; ngw;Ws;sJ.

c. xUq;fikT mw;wJ

d. xUq;fikT cilajhfNth my;yJ xUq;fikT mw;wjhfNth ,Uf;fyhk ;

5. = 0 , | | = 3 , | | = 4 , | | = 5 vdpy; f;Fk; f;Fk;

,ilg;gl;lf; Nfhzk;

a.

(b)

(c)

(d)

6. vd;w rkd;ghL Fwpg;gJ

a. kw;Wk; Gs;spfis ,izf;Fk; Neuf;NfhL

b. xoy jsk; c. yoz jsk; d. zox jsk;

7. ,d; kPJ ,d; tPoy; kw;Wk; ,d; kPJ tPoYk; rkkhapd;

kw;Wk; f;F ,ilg;gl;l Nfhzk;

(a)

(b)

(c)

(d)

8. ikak; MjpahfTk;> Muk; ‘a’ MfTk; nfhz;l Nfhsj;jpd;

ntf;lu; rkd;ghL

(a) r = a

(b) acr

(c) ar

(d) r

= a

9. 400 khztu;fs; vOjpa fzpjj; Nju;tpd; kjpg;ngz;fs;

,ay;epiyg; gutiy xj;jpUf;fpwJ. ,jd; ruhrup 65. NkYk; 120

khztu;fs; 85 kjpg;ngz;fSf;F Nky; ngw;wpUg;gpd;>

kjpg;ngz;fs; 45 ypUe;J 65f;Fs; ngWk; khztu;fspd;

vz;zpf;if a. 120 (b)20 (c)80 (d)160

10. xU ,ay;epiyg; gutypd; epfo;jfT mlu;j;jpr; rhu;G ,d;

ruhrup μ vdpy;

,d; kjpg;G

(a)1 (b)0.5 (c)0 (d)0.25

11. xU rktha;g;G khwp ,ay;epiyg; guty;

I

gpd;gw;WfpwJ vdpy; ,d; kjpg;G

(a) (b)

(c) 5 (d)

12. jpl;l ,ay;epiyg; gutypd; ruhrupAk;> gutw;gbAk;

a) , 2 b) , c) 0, 1 d) 1, 1

13. vd;w njhlu;gpy; A iaAk; B iaAk;

ePf;fpg; ngwg;gLk; tiff;nfOr; rkd;ghL

(a) (b)

(c) (d)



14. ,d; rpwg;Gj; jPu;T

a) (b) (c) (d)

15. tiff;nfOr; rkd;ghL

tpd; njhiff; fhuzp

(a) (b) (c) (d)

16. 3

2

3 )y(y y vd;w tiff;nfOr; rkd;ghl;bd; tupir kw;Wk; gb

a) 2, 3 b) 3, 3 c) 3, 2 d) 2, 2

17. x2 + y

2 = 1 vdpy;

iyx

iyx

1

1,d; kjpg;G

a) x – iy b) 2x c) -2iy d) x + iy

18. z xU fyg;ngz;izf; Fwpg;gnjdpy; arg (z) + arg ( z ) vd;gJ

a) 4

b) 2

c) 0 d) 4

19.

i

i

e

e

1

1= a) cos + isin b) cos - isin c) sin + icos d) sin + icos

20. –4 – i9 ,d; ,izf; fyg;ngz;

a) –4 + i9 b) 4 + i9 c) 4 – i9 d) –4 – i9

21. (2> -3) vd;w Kid x = 4 vd;w ,af;Ftiuiaf; nfhz;l

gutisaj;jpd; nrt;tfy ePsk;

a) 2 b) 4 c) 6 d) 8

22. 9x2 + 5y

2 – 54x – 40y + 116 = 0 vd;w $k;G tistpd;

ikaj;njhiyj;jfT (e) ,d; kjpg;G

a) 3

1 b)

3

2 c)

9

4 d)

5

2

23. 2x-y+c =0 vd;w Neu;f;NfhL 4x2 + 8y

2 = 32 vd;w ePs;tl;lj;jpd;

njhLNfhL vdpy; c ,d; kjpg;G

a) 23 b) 6 c) 36 d) 4

24. 12y2-4x

2-24x+48y-127 = 0 vd;w mjpgutisaj;jpd; ikaj;njhiyj;

jfT a) 4 b) 3 c) 2 d) 6

25. 1916

22

yx

vd;w mjpgutisaj;jpd; njhiyj;

njhLNfhLfSf;fpNlNaAs;s Nfhzk;

a) - 2 tan-1

4

3 b) - 2 tan

-1

3

4 c) 2 tan

-1

4

3 d) 2 tan

-1

3

4

26. ePs;tl;lj;jpd; ikak; (2> 3) mjd; xU Ftpak; (3> 3) vdpy; kW

Ftpak; a) (1, 3) b) (–1, 3) c) (1, –3) d) (–1, –3)

27. y = 3x2 + 3 sin x vd;w tistiuf;F x = 0 tpy; njhLNfhl;bd;

rha;T a) 3 b) 2 c) 1 d) -1

28. = t

1

vDk; tistiuf;F (-3, -

3

1) vd;w Gs;spapy; nrq;Nfhl;bd;

rkd;ghL

a) 3 = 27 t-80 b) 5 = 27 t -80 c) 3 = 27 t + 80 d) = t

1

29. xU cUisapd; Muk; 2nr.kP/tpdhb vd;w tPjj;jpy;

mjpfupf;fpd;wJ. mjd; cauk;

3 nr.kP/tpdhb vd;w tPjj;jpy; Fiwfpd;wJ. Muk; 3 nr.kP kw;Wk;;

5 nr.kP Mf ,Uf;Fk; NghJ mjd; fdmstpd; khW tPjk; a)

23 b) 33 c) 43 d) 53

30. (x) = x3 vd;w rhu;ghdJ

a. kPg;ngU ngUkk; cz;L b. kPr;rpW rpWkk; cz;L

c. ,lQ;rhu;e;j ngUkk; cz;L d. ngUk/rpWk kjpg;Gfs; ,y;iy

31. y2 (x - 2) = x

2 (1 +x) vd;w tistiuf;F

a. x mr;Rf;F ,izahd xU njhiyj; njhLNfhL cz;L

b. y mr;Rf;F ,izahd xU njhiyj; njhLNfhL cz;L



c. ,U mr;RfSf;Fk; ,izahd xU njhiyj; njhLNfhLfs; cz;L

d. njhiyj;njhLNfhLfs; ,y;iy

32. u(x, y) = x4 + y

3 + 3x

2y

2 + 3x

2y vdpy;

yx

u

2

MdJ

a) 12xy + 6x b) 12xy – 6x c) 12x2y – 6x d) 12xy

2 – 6x

33. dxxx

1

0

4)1( ,d; kjpg;G

a) 12

1 b)

30

1 c)

24

1 d)

20

1

34. y = x, vd;w Nfhl;bw;Fk; x mr;R> NfhLfs; x = 1 kw;Wk; x = 2

Mfpatw;wpw;Fk; ,ilg;gl;l muq;fj;jpd; gug;G

a) 2

3 b)

2

5 c)

2

1 d)

2

7

35. Muk; 5 cs;s Nfhsj;ij jsq;fs; ikaj;jpypUe;J 2 kw;Wk; 4

J}uj;jpy; ntl;Lk; ,U ,izahd jsq;fSf;F ,ilg;gl;l

gFjpapd; tisg;gug;G

a) 20 b) 40 c) 10 d) 30

36. n MdJ ,U ,ul;ilg;gil vz; vdpy; 2

0sin

xdxn

a) 2....

5

4.

3

2.

1

n

n

n

n

n

n

b) 22

1....

4

5.

2

3.

1

n

n

n

n

n

n

c) 1.

2

3....

5

4.

3

2.

1

n

n

n

n

n

n

d) 1.

3

2....

4

5.

2

3.

1

n

n

n

n

n

n

37. gpd;tUtdtw;Ws; vJ nka;ikahFk;?

a) p q b) p q c) p ~ p d) p ~ p

38. fPo;f;fz;ltw;Ws; vJ Fyk; my;y?

a) (Zn, +n) b) (Z, +) c) (Z, .) d) (R,+)

39. KOf;fspy; * vd;w <UWg;Gr; nrayp a * b = a + b – 1, vd

tiuaWf;fg;gLfpwJ vdpy; rkdp cWg;G

a) 0 b) 1 c) a d) b

40. gpd;tUtdtw;Ws; $w;W my;yhjit vit?

i) %d;Wld; ehd;if $l;bdhy; vl;L ii) #upad; xU fpufk;

iii) tpsf;if Vw;W iv) eP vq;Nf nry;fpwha;?

a) i), ii) b) ii), iii) c) iii) kw;Wk; iv) d) iv) kl;Lk;

gFjp – M

10 x 6 = 60

Fwpg;G : (i). vitNaDk; gj;J tpdhf;fSf;F tpilaspf;f.

(ii) tpdh vz; 55 – f;F fz;bg;ghf tpilaspf;fTk;> gpw tpdhf;fspypUe;J VNjDk; xd;gJ tpdhf;fSf;F tpilaspf;fTk;.

41. A=

,d; Nru;g;G mzp A vd epWTf.

42. A =

rupghu; ( A-1

)T = ( A

T )

-1

43. [ ] = vd epWTf.

44. (5> 5> 3) vd;w Gs;sp topr; nry;tJk; (1> 2> 3) ikakhfTk;

mikAk; Nfhsj;jpd; ntf;lu; kw;Wk; rkd;ghLfisf; fhz;f.

45. Mu;fd; jsj;jpy; fyg;ngz;fs; (10 + 8i), (-2 + 4i) kw;Wk; (-11 + 31i)

mikf;Fk; Kf;Nfhzk; xU nrq;Nfhz Kf;Nfhzk; vd epWTf.

46. fPo;f;fhZk; rkd;ghl;il epiwT nra;Ak; x kw;Wk; y apd; nka;

kjpg;Gfisf; fhz;f.

47. vd;w mjpgutisaj;jpd;

njhiyj; njhLNfhLfspd; ,ilg;gl;l Nfhzj;ijf; fhz;f.

48. nkf;yhupd; tpupTf; fhz;f.

.

49. tifaPLfisg; gad;gLj;jp f;F Njhuha kjpg;Gfisf; fhz;f.

50. kjpg;gpLf. (i)

(ii)

51. jPu;f;f:



52. vdf; fhl;Lf.

53. Fyj;jpd; vjpu;kiw tpjpia vOjp epWgp.

54. xU fjpupaf;fg; nghUspypUe;J My;/gh Jfs;fs; ruhrupahf 20

epkpl fhy ,ilntspapy; 5 vd ckpog;gLfpwJ. gha;]hd;

gutiyg; gad;gLj;jp Fwpg;gpl;l 20 epkpl ,ilntspapy;

i) 2 ckpoy;fs; ii) Fiwe;jgl;rk; 2 ckpoy;fSf;fhd

epfo;jfitf; fhz;f. [e-5

=0.0067]

55. m. xU <UWg;Gg; gutypd; khwp X d; ruhrup 2> jpl;ltpyf;fk;

vdpy;> epfo;jfTr; rhu;igf; fhz;f. (my;yJ)

M. i) ,d; khWepiy vz;fisf; fhz;f.

ii) vd;w tistiuapd; FopT (FtpT) –d;

rhu;gfj;ijf; fhz;f.

gFjp – , 10 x 10 = 100

Fwpg;G : (i) vitNaDk; gj;J tpdhf;fSf;F tpilaspf;f.

(ii) tpdh vz; 70 – f;F fz;bg;ghf tpilaspf;fTk;. gpw tpdhf;fspypUe;J VNjDk; xd;gJ tpdhf;fSf;F tpilaspf;fTk;.

56. λ, μ ,d; vk;kjpg;GfSf;F x+ y + z = 6, x + 2y + 3z = 10, x + 2y + λz = μ

vd;w rkd;ghLfs;

m. ahnjhU jPu;Tk; ngw;wpuhJ M. xNu xU jPu;it ngw;wpUf;Fk;

,. vz;zpf;ifaw;w jPu;Tfisg; ngw;wpUf;Fk; vd;gjid Muha;f.

57. + + , =2 + , + + , + +2 rupghu;

( ) x ( ) = [ - [ 58. xU uapy;Nt ghyj;jpd; Nky; tisT gutisaj;jpd; mikg;igf;

nfhz;Ls;sJ. me;j tistpd; mfyk; 100 mbahfTk;

mt;tistpd; cr;rpg;Gs;spapd; cauk; ghyj;jpypUe;J 10

mbahfTk; cs;sJ vdpy;> ghyj;jpd; kj;jpapypUe;J ,lg;Gwk;

my;yJ tyg;Gwk; 10 mb J}uj;jpy; ghyj;jpd; Nky; tisT

vt;tsT cauj;jpy; ,Uf;Fk; vdf; fhl;Lf.

59. I xU njhiyj; njhLNfhlhfTk; (6> 0) kw;Wk;

(-3> 0) vd;w Gs;spfs; topNa nry;yf;$baJkhd nrt;tf

mjpgutisaj;jpd; rkd;ghL fhz;f.

60. ePs;tl;lj;jpd; ikaj;njhiyj;

jfT> ikak;> Ftpaq;fs;> Kidfs; Mftw;iwf; fhz;f kw;Wk;

tiuglk; tiuf.

61. ,d; %yq;fs; α kw;Wk; β vdpy;

mjpypUe;J d; kjpg;ig ngWf.

62. vDk; Jiz myF rkd;ghLfisf;

nfhz;l tistiuf;F ,y; tiuag;gLk; nrq;Nfhl;bd; rkd;ghL

vdf; fhl;Lf.

63. a MuKs;s Nfhsj;jpDs; ngUk msT nfhs;SkhW fhzg;gLk;

$k;gpd; nfhs;ssT> Nfhsj;jpd; nfhs;sstpd;

klq;F vdf; fhl;Lf.

64.

f;F A+yupd; Njw;wj;ij rupghu;f;f.

65. vd;w tistiu x = 0, kw;Wk; x mr;R Mfpatw;why;

Vw;gLk; gug;gpid x mr;rpidg; nghWj;J Row;Wk; NghJ fpilf;Fk;

jplg;nghUspd; tisgug;G vd epWTf.

66. vd;w tl;lj;jpw;Fk; vd;w gutisaj;jpw;Fk;

nghJthd gug;igf; fhz;f.

67. jPu;f;f:

68. Nubak; rpijAk; khWtPjkhdJ> mjpy; fhzg;gLk; mstpw;F tpfpjkhf mike;Js;sJ. 50 tUlq;fspy; Muk;g mstpypUe;J 5 rjtPjk; rpije;jpUf;fpwJ vdpy; 100 tUl Kbtpy; kPjpapUf;Fk; msT vd;d? (Ao I Muk;g msT vdf; nfhs;f)

69. vd;w fzkhdJ ngUf;fypd; fPo; xU vgPypad; Fyj;ij mikf;Fk; vdf; fhl;Lf.

70. m. xU ,ay;epiyg; gutypd; epfo;jfTg; guty;

vdpy; ,tw;iwf; fhz;f. (my;yJ)

M. (1> 2> -2) vd;w Gs;sp top nry;tJk;

vd;w

Nfhl;bw;F ,izahdJkhd kw;Wk; vd;w



jsj;jpw;F nrq;Fj;jhdJkhd jsj;jpd; ntf;lu; kw;Wk; fhu;Brpad; rkd;ghLfis fhz;f.

Prepared by R.RAJASEKARAN.,M.Sc.,B.Ed.,M.Phil.

DAYANANDA VIDYALAYA MATRIC HR SEC SCHOOL

KURUSILAPATTU

VANIYAMBADI TK , VELLROE DT– 635710

CELL : 9047879191

Answer Script Send To This Address: R.RAJASEKARAN (Teacher), S/O Mr. Ragupathi, Pudur Village, Poongulam

Post, Vaniyambadi TK, Vellore Dt. – Pincode - 635710 - Cell No: 9047879191


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