Padasalai.Net s Centum Coaching Team Special Question Paper … · Padasalai.Net’s Centum Coaching Team Special Question Paper (2016-17) XII Std fzpjk; fhyk : 3 kzp nkhj;j kjpgngz;fs

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Padasalai.Net’s Centum Coaching Team Special Question Paper (2016-17)

XII Std fzpjk;

fhyk; : 3 kzp nkhj;j kjpg;ngz;fs; 200

mwpTiu

(i) midj;J tpdhf;fSk; rhpahf gjpthfp cs;sjh vd;gjid rhpghh;j;Jf;

nfhs;sTk;. mr;Rg;gjptpy; FiwapUg;gpd; miwf; fz;fhzpg;gghshplk;

cldbahfj; njhptpff;fTk;

(ii) ePyk; my;yJ fUg;G ikapid kl;LNk vOJtjw;Fg; gad;gLj;j Ntz;Lk;.

glq;fs; tiutjw;F ngd;rpy; gad;gLj;jTk;

gFjp m

Fwpg;G :

(i) midj;J tpdhf;fSf;Fk; tpilaspf;f

(ii) nfhLf;fg;gl;l ehd;F tpilfspy; kpfTk; Vw;Gila tpilapid

Njh;e;njLj;J FwpaPl;Lld; tpilapidAk; Nrh;j;J vOJ.

40x1=40

1. xU rJu mzp A d; thpir n vdpy; Aadj vd;gJ

a) 2A b) nA c) 1nA d) A

2. kjpg;gpl Ntz;ba %d;W khwpfspy; mike;j %d;W Nehpa mrkgbj;jhd rkd;ghl;Lj; njhFg;gpy; 0 kw;Wk; 0 x , 0y

kw;Wk; 0z vdpy; njhFg;Gf;fhd jPh;T

a) xNu xU jPh;T b) ,uz;L jPh;Tfs; c) vz;zpf;ifaw;w jPh;Tfs ;d) jPh;T ,y;yhik 3. x

2/3 + y

2/3 = 4 vd;w tistiuapd; tpy;ypd; ePsk;

a) 48 b) 24 c) 12 d) 96

4. m < 0 Mf ,Ug;gpd; 0dx

mxdy

d; jPh;T

a) x = cemy

. b) x = ce-my

. c) x = my + c. d) x = c. 5. Mjpg;Gs;spia ikakhff; nfhz;l tl;lq;fspd; njhFg;gpd; tiff;nfO rkd;ghL a) x dy + y d x = 0 b) x dy – y d x = 0 c) x d x + y dy = 0 d) x d x – y d y =0



6. xxf kw;Wk; f(1) = 2 vdpy; f(x) vd;gJ

a) )2xx(3

2 b) )2xx(

2

3 c) )2xx(

3

2 d) )2x(x

3

2

7. gpd;tUtdtw;Ws; vJ Kuz;ghlhFk; ? a) p v q. b) p ^ q c) p v ~q. d) p ^ ~q. 8. (Z9, +9) y; [7] d; thpir a) 9 b) 6 c) 3 d) 1. 9. ngUf;fy; tpjpia nghWj;J Fykhfpa xd;wpd; ehyhk; %yq;fspy; – i d; thpir a)4 b) 3 c) 2 d) 1

10 . f(x) =

elsewhere,0

3x0,kx2

vd;gJ epfo;jfT mlh;j;jp rhh;G vdpy; k d; kjpg;G

a) 1/ 3 b) 1/ 6 c) 1/ 9 d) 1/12. 11. E(X +c) = 8 kw;Wk; E (X –c) = 12 vdpy; c d; kjpg;G. a) -2 b) 4 c) -4 d) 2. 12. xU gha;]hd; gutypy; P(X = 2 ) = P(X=3) vdpy; gz;gsit d; kjpg;G a) 6 b) 2 c) 3 d) 0 13 rkgbj;jhd Nehpar; rkd;ghl;Lj; njhFg;ghdJ a) vg;NghJNk xUq;fikT cilajhFk; b) ntspg;gilj;jPHT kl;LNk nfhz;Ls;sJ c) vz;zpf;ifaw;w jPHTfs; nfhz;Ls;sJ d) xUq;fikT cilajhf ,Uf;fj; Njitapy;iy 14. ba , fis epiy ntf;lHfshf nfhz;l Gs;spfs; topahfTk; f;F ,izahfTk; mike;j jsj;jpd; Jiz myF my;yhj ntf;lH rkd;ghL

a) 0 vabar b) 0 vabr

c) 0vba d) 0bar

15. MjpapypUe;J 752 kjir vd;w jsj;jpw;F cs;s J}uk;

a) 30

7 b) 7

30 c) 7

30 d) 30

7



16. ZZ -,d; kjpg;G a) )Im(2 Z b) )Im(2 Zi c) )Im(Z d) )Im(Zi

17. (2,4) ypUe;J 2052 22 yx vd;w ePs;tl;lj;jpw;F tiuag;gLk; njhLNfhLfspd; njhehzpd; rkd;ghL

a) 055 yx b) 055 yx c) 055 yx d) 055 yx

18. 3

1

x

xvd;w rhHgpw;F 0x -d; NghJ Nyhgpjhypd; tpjpia gad;gLj;j

,ayhJ fhuzk; 1 xxf kw;Wk; 3 xxg

a) njhlHr;rpaw;wit b) tifaplj;jf;fitay;y c) 0x f;F Njwg;ngwhj tbtj;jpy; ,y;iy d) 0x f;F Njwg;ngWk; tbtj;jpy; cs;sJ

19 a

dxxf0

=

a) a

dxaxf0

b) a

dxxaf0

c) a

dxxaf0

2 d) a

dxaxf0

2

20. nzyx;mzyx;lzyx 222 vd;w rkd;ghLfs; 0 nml vDkhW mikAkhapd; mj;njhFg;gpd; jPh;T a) xNu xU G+r;rpkw;w jPh;T b) ntspg;gil jPh;T c) vz;zpf;ifaw;w jPh;T d) jPh;T ,y;yhik ngw;W ,Uf;Fk;

21. kjiPR 2 , kjiSQ 23 vdpy; ehw;fuk; PQRS d; gug;G

a) 35 b) 310 c) 2

35 d) 2

3

.22 xU NfhL x kw;Wk; y mr;Rf;fSld; kpif jpirapy; 45°, 60° Nfhzq;fis Vw;gLj;JfpwJ vdpy; z mr;Rld; mJ cz;lhf;Fk; Nfhzk;

a) 30 b) 90 c) 45 d) 60

23. kjia 32 kw;Wk; kjib 23 vdpy; a f;Fk; bf;Fk; nrq;Fj;jhf cs;s xU XuyF ntf;lH

a) 3

kji

b)

3

kji

c)

3

k2ji

d)

3

kji



24. 1

z

1

1y

2

1x

kw;Wk;

2

1z

5

1y

3

2x

Mfpa ,U NfhLfSk;

a) ,iz b) ntl;bf;nfhs;git c) xU jsk; mikahjit d) nrq;Fj;J.

25. iz vd;w fyg;ngz;iz Mjpia nghWj;J 2

Nfhzj;jpy; fbfhu vjph;

jpirapy; Row;Wk; NghJ me;j vz;zpd; Gjpa epiy a) iz b) -iz c) -z d) z

26. 3

sin3

cos n

in

zn vdpy; 621 z.........zz vd;gJ

a) 1 b) -1 c) i d) -i

27. 062 kxx vd;w rkd;ghl;bd; xU %yk; -i +3 vdpy; kd; kjpg;G

a) 5 b) 5 c) 10 d) 10

28 x12y2 vd;w gutisaj;jpd; Ftpehzpd; ,Wjpg;Gs;spfspy; tiuag;gLk; njhLNfhLfs; re;jpf;Fk; Gs;sp mikAk; NfhL a) x - 3 =0 b) x+ 3 =0 c) y + 3 =0 d) y – 3 = 0 29. nrt;tfyj;jpd; ePsk; Jizar;rpd; ePsj;jpy; ghjp vdf; nfhz;Ls;s mjpgutisaj;jpd; ikaj;njhiyj;jfT

a) 2

3 b) 3

5 c) 2

3 d) 2

5

30 2cxy vd;w nrt;tf mjpgutisaj;jpd; njhiynjhLNfhLfs;. a) cy,cx b) cy,0x c) 0y,cx d) 0y,0x

31 y = 3x² vd;w tistiuf;F x d; Maj;njhiyT 2 vdf; nfhz;Ls;s Gs;spapy; nrq;Nfhl;bd; rha;thdJ a) 1 / 13 b) 1 / 14 c) -1 / 12 d) 1 / 12 32. xU Nfhsj;jpd; fdmsT kw;Wk; Muj;jpNyw;gLk; khWtPjq;fs; vz;zstpy; rkkhf ,Uf;Fk; NghJ Nfhsj;jpd; tisgug;G

a) 1 b) 21 c) 4 d) 34

33. y = ax³ + bx² + cx + d vd;w tistiuf;F x = 1 y; xU tisT khw;Wg;Gs;sp cz;nldpy; a) a+b = 0 b) a+ 3b = 0 c) 3 a + b = 0 d) 3a + b = 1



34. u = xyvdpy;

x

u

f;F rkkhdJ

a) yxy-1

. b) u log x c) u log y d) xyx-1

. 35. ay² = x² (3a-x) vd;w tistiu y mr;ir ntl;Lk; Gs;spfs;. a) x = - 3a , x = 0 b) x =0, x = 3a. c) x = 0, x = a. d) d) x = 0

36. 1b

y

a

x

2

2

2

2

vd;w ePs;tl;lj;jpw;Fk; mjd; Jiz tl;lj;jpw;Fk;

,ilg;gl;l gug;G

a) bab b) baa 2 c) baa d) bab 2

37. NfhLfs; y = x, y = 1kw;Wk; x = 0 Mfpait Vw;gLj;Jk; gug;G y mr;ir nghWj;J Row;wg;gLk; jplg;nghUspd; fdmsT

a) 4 b) 2 c) 3 d) 32

38. QPxdy

dx vd;w Nehpa tiff;nfOr; rkd;ghl;by;P kw;Wk; Q Mfpait

y,d; rhHGfshf ,Ug;gpd;> jPHT a) cdxQFIFIy .. b) cdyQFIFIx ..

c) cdyQFIFIy .. d) cdxQFIFIx ..

39. ,ul;ilg;gil kpif vz;fspd; fzk;> ngUf;fypd; fPo; a) Kbthd Fyk; b) miuf;Fyk; kl;Lk ;c) rkdpAila miuf;Fyk; kl;Lk; d) Kbtw;w Fyk; 40. X xU njhlH rktha;g;G khwp vdpy; vJ jtW? a) xfxF ' b) 0;1 FF

c) aFbFbxaP d) aFbFbxaP



gFjp – M

Fwpg;G: (i) vitNaDk 10 tpdhf;fSf;F tpilaspf;fTk;. (ii) tpdh vz; 55 f;F fz;bg;ghf tpilaspf;fTk;. gpw tpdhf;fspypUe;J VNjDk; ehd;F tpdhf;fSf;F tpilaspf;fTk;.

10×6=60

41 gpd;tUk; rkd;ghLfspd; njhFg;G xUq;fikT cilajh vd;gij Muha;f. xUq;fikT cilajhapd; mtw;iwj; jPHf;f :

62;1832;7 zyzyxzyx

42: ; NeHkhW mzpfisf; fhz;f.

121

022

113

A

43 XH miutl;lj;jpy; cs;s Nfhzk; xU nrq;Nfhzk; ,jid ntf;lH Kiwapy; ep&gpf;f.

44 (a) Find the angle between the lines. kjijir 2475

kikir 432

(b) For any vector r prove that kkrjjriirr

45 vy;yh kjpg;GfisAk; fhz;f. 318i

46 21 , ZZ vd;w VNjDk; ,U fyg;ngz;fSf;F (i) 2

1

2

1

Z

Z

Z

Z (ii)

212

1 argargarg ZZZ

Z

vd ep&gp.

47 gutisak; xy 82 f;F2

1t vd;w Gs;spapy; njhLNfhL> nrq;NfhL

,tw;wpd; rkd;ghLfs; fhz;f.

48 222 ayx kw;Wk;

2cxy vd;w tistiufs; xd;iw xd;W nrq;Fj;jhf ntl;bf; nfhs;Sk; vdf; fhl;Lf. 49 tifaPLfisg; gad;gLj;jp 127 d; Kg;gb %yj;jpd; Njhuha kjpg;Gfis fzf;fpLf.



50 xy vd;w tistiuapy; ,2y 0x Mfpa NfhLfSf;F ,ilg;gl;l gug;gpid y-mr;irg; nghWj;Jr; Row;wpdhy; cUthFk; jplg;nghUspd; fdmstpidf; fhz;f.

51 .,0R Kbtw;w vgPypad; Fyk; vdf; fhl;Lf. ,q;F ‘.’ vd;gJ tof;fkhd ngUf;fiyf; Fwpf;Fk;. 52 qp kw;Wk; pq rkhdkw;wit vdf; fhl;Lf 53 ,U rPuhd gfilfs; cUl;lg;gLfpd;wd. gfilfspd; Nky; cs;s vz;fspd; $l;Lj; njhifapd; vjpHghHg;gpidf; fhz;f. 54 xU fjphpaf;fg; nghUspypUe;J My;/gh Jfs;fs; ruhrhpahf 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. .0067.05 e

55 (a) xU efUk; thfdj;jpd; jil (F) ,d; rkd;ghL xx

F 1005 vdpy;>

jilapd; rpWk kjpg;igf; fhz;f.

(or)

(b) jPHf;f: 01

1 2

1

2

2

x

y

dx

dy

gFjp – ,

Fwpg;G: (i) vitNaDk 10 tpdhf;fSf;F tpilaspf;fTk;. (ii) tpdh vz; 70 f;F fz;bg;ghf tpilaspf;fTk;. gpw tpdhf;fspypUe;J VNjDk; ehd;F tpdhf;fSf;F tpilaspf;fTk;.

10×10=100

56 NeHkhW mzp fhzy; Kiwapy; gpd;tUk; Nehpa rkd;ghl;Lj; njhFg;Gfisj; jPHf;fTk;.

. 57 xU Kf;Nfhzj;jpd; Fj;Jf;NfhLfs; xNu Gs;spapy; re;jpf;Fk; vd;gjid ntf;lH Kiwapy; epWTf.



58 ntl;Lj;Jz;L tbtpy; xU jsj;jpd; rkd;ghl;ilj; jUtpf;f.

-,d; %yq;fs; kw;Wk; vdpy;

mjpypUe;J kjpg;ig ngWf.

vd;w mjpgutisaj;jpd; ikaj; njhiyj;jfT> ikak;> Ftpaq;fs;> cr;rpfs; Mfpatw;iwf; fhz;f. NkYk; mjd; tistiuia tiuf. 61 xU uhf;nfl; ntbahdJ nfhSj;Jk; NghJ mJ xU gutisag; ghijapy; nry;fpwJ. mjd; cr;r cauk; kP-I vl;Lk;NghJ mJ nfhSj;jg;gl;l ,lj;jpypUe;J fpilkl;l J}uk; kP njhiytpYs;sJ. ,Wjpahffpilkl;lkhf kP njhiytpy; jiuia te;jilfpwJ vdpy; Gwg;gl;l ,lj;jpy; jiuAld; Vw;gLj;jg;gLk;vwpNfhzk; fhz;f. 62 xU EioT thapypd; Nkw;$iuahdJ miu ePs;tl;l tbtj;jpy; cs;sJ. ,jd; mfyk; mb ikaj;jpypUe;J mjd; cauk; mb kw;Wk; gf;fr; RtHfspd; cauk; mb vdpy; VNjDk; xU gf;fr; RthpypUe;J mb J}uj;jpy; Nkw;$iuapd; cauk; vd;dthf ,Uf;Fk;? kw;Wk; vDk; tistiufs; xd;iwnahd;W nrq;Fj;jhf ntl;bf; nfhz;lhy;> vd ep&gpf;f. 64 tifaPLfisg; gad;gLj;jp

d; Njhuha

kjpg;igf; fzf;fpLf.

vd;w tl;lj;jpw;Fk; vd;w gutisaj;jpw;Fk; nghJthd gug;ig fhz;f. vd;w tl;l cUs;tis mjd;

mbg;gf;fj;ijg; mr;R) nghWj;J Row;Wtjhy; Vw;gLk; jplg; nghUspd; tisg;gug;igf; fhz;f



67 jPHf;f : 68 xU ,we;jtH cliy kUj;JtH ghpNrhjpf;Fk; NghJ> ,we;j Neuj;ij Njhuhakhf fzf;fpl Ntz;bAs;sJ. ,we;jthpd; clypd; ntg;gepiy fhiy kzpastpy; vd Fwpj;Jf; nfhs;fpwhH. NkYk; kzp Neuk; fopj;J ntg;gepiy msit vdf; fhz;fpwhH. miwapd; ntg;gepiy msT (epiyahdJ) vdpy;> ,we;j Neuj;ijf; fzf;fpLf. (xU kdpj clypd; rhjhuz c\;z epiy vdf; nfhs;f).

69 ,ay;epiyg; gutypd; epfo;jfT mlHj;jpr; rhHG

vdpy; kw;Wk; ,d; kjpg;G fhz;f.

MuKs;s Nfhsj;jpDs; ngUk msT nfhs;SkhW

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

klq;F vdf;

fhl;Lf. (or)

0 20vd;fpw fzk; mzpg;ngUf;fypd; fPo; xU Fyj;ij mikf;Fk;

vdf; fhl;Lf.


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Padasalai.Net s Centum Coaching Team Special Question Paper … · Padasalai.Net’s Centum Coaching Team Special Question Paper (2016-17) XII Std fzpjk; fhyk : 3 kzp nkhj;j kjpgngz;fs