AAAA’ A A SPECIAL QUESTION PAPER 2016 B PART III...

+2 MATHEMATICS PAGE- 1- Prepared by – P.KABILAN, M.Sc.,M.Ed.,

PADASALAI’S CENTUM COACHING TEAM SPECIAL QUESTION PAPER – 2016 PART III- MATHEMATICS; / fzpjtpay;

(Tamil Version) fhyk;: 3 kzp nkhj;j kjpg;ng ;fs;: 200

--------------------------------------------------------------------------------------------------------------------------------- Fwpg;G :- gFjp -m 40 x 1 = 40 i) midj;J tpdhf;fSf;Fk; tpilaspf;fTk; ii) xt;nthU tpdhtpw;Fk; kjpg;ngz; xd;W iii) nfhLf;fg;gl;l ehd;F tpilfspy; kpfTk; Vw;Gila tpilapid Njh;T nra;f.

---------------------------------------------------------------------------------------------------------------------------------

1. axy 42 vd;w gutisaj;jpw;F mjd; Ftpaj;jpypUe;J xU njhLNfhl;bw;F tiuag;gLk;

nrq;Fj;Jf;Nfhl;bd; mbapd; epakg;ghij

1) 2222bayx 2) 222

ayx 3) 2222bayx 4) 0x

2. a = 0, b = 1 f (x) = x2 + 2x - 1

‘c’

1) -1 2) 1 3) 0 4) 2

1

3. A , B AB = 0 A

1) B = 0 2) B

3) B 4) B = A

4.

1) 20

1 2)

125

18 3)

25

4 4)

10

3

5. %d;W khwpfspy; mike;j %d;W Nehpar; rkd;ghLfspd; njhFg;gpy; 0 kw;Wk; -tpd; vy;yh

2 x 2 rpw;wzpf; Nfhitfspd; kjpg;Gfs; G+r;rpaq;fshfp kw;Wk; x

my;yJ y

my;yJ z

tpd;

VNjDk; xU 2 x 2 rpw;wzpf;Nfhit G+r;rpakw;wjhapd;> njhFg;ghdJ 1) xUq;fikT cilaJ 2) xUq;fikT mw;wJ 3) xUq;fikT cilaJ kw;Wk; njhFg;ghdJ ,U rkd;ghLfshf khWk; 4) xUq;fikT cilaJ kw;Wk; njhFg;ghdJ xU rkd;ghlhf khWk;

6. 4

3

3

2

2

1

zyx

5

5

4

4

3

2

zyx

1) 3

2 2)

6

1 3)

3

2 4)

62

1

7. kji

3 kji

43

1) 310 2) 306 3) 302

3 4) 303

8. a = 3+i z = 2 - 3i az, 3az -az

1)

2)

3)

4)

9. (Z9 , +9) [7]

1) 9 2) 6 3) 3 4) 1

10.

1)

2)

3) 2 x 2

4) a , b G (a * b)-1

= a-1

* b-1

B

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11. syxxxoyoS ,,,, vdpy; ‘o’ vd;gJ

1) NrHg;G tpjpf;F cl;gLk; 2) ghpkhw;W tpjpf;F cl;gLk; 3) NrHg;G kw;Wk; ghpkhw;W tpjpf;F cl;gLk; 4) NrHg;G kw;Wk; ghpkhw;W tpjpf;F cl;glhJ

12. 1 (1 - + 2 )

4+ (1 + - 2

)4

1) 0 2) 32 3) -16 4) -32

13. X F(X)

1) 2)

3) 4)

14. xU jdpepiy rktha;g;G khwp 1) KbTw;w fzj;jpd; kjpg;Gfisg; ngWfpwJ 2) Fwpg;gpl;l xU ,ilntspapYs;s vy;yh kjpg;GfisAk; ngWfpwJ 3) vz;zpylq;fh kjpg;Gfisg; ngWfpwJ 4) xU KbTw;w my;yJ vz;zplj;jf;f kjpg;Gfisg; ngWfpwJ 15. xd;wpd; Kg;gb %yq;fs; 1) ngUf;Fj; njhlH Kiw (G.P) apy; cs;sd. nghJ tpfpjk;

2) ngUf;Fj; njhlH Kiw (G.P) apy; cs;sd. nghJ tpfpjk; 2

3) $l;Lj; njhlH Kiw (A.P) apy; cs;sd. nghJ tpj;jpahrk;

4) $l;Lj; njhlH Kiw (A.P) apy; cs;sd. nghJ tpj;jpahrk; 2

16. xy = 32

1) 28 2)32 3)8 4)16 17. 9x

2 + 16y

2 = 144

1) 7 2)4 3)3 4)5

18. k0 A-1

1) Ik

2

1 2) I

k3

1 3) I

k

1 4) kI

19. A =

3

2

1

AAT

1)3 2)0 3)1 4)2 20. x

2 - 4(y - 3)

2 = 16

1) y = 5

8 2) x =

5

8 3) y =

8

5 4) x=

8

5

21. y2 = x x

2 = y

1)

4

3tan2

1 2)

3

4tan

1 3) 2

4)

4

22. 4

1) 2 2) 4 3) 8 4) 16 23. rhpahd $w;Wfis NjHe;njL i) xt;nthU khwpypr; rhHGk; VWk; rhHghFk; ii) xt;nthU khwpypr; rhHGk; ,wq;Fk; rhHghFk; iii) xt;nthU rkdpr; rhHGk; VWk; rhHghFk; iv) xt;nthU rkdpr; rhHGk; ,wq;Fk; rhHghFk; 1) (i) , (ii) kw;Wk; (iii) 2) (i) kw;Wk; (iii) 3) (iii) kw;Wk; (iv) 4) (i) , (iii) kw;Wk; (iv)

24. 28 11 28

_____

1) 28

1 2)

11

1 3) 11 4) 28

25. 3

52

5

3

1

3

zyx (1 , 3, 5)

1) )53()35( kjitkjir

2) )35()53( kjitkjir

3) )53()2

35( kjitkjir

4) )

2

35()53( kjitkjir




26. cba

,,

][][ accbbaaccbba

],,[ cba

1) 2 2) 3 3) 1 4) 0

27. p

1) 2

1 2)

3

1 3)

3

2 4)

4

1

28. xxxy 6222

vd;w tistiuapy;

1) x = 0 kw;Wk; x = 6 f;fpilNa xU fz;zp kl;LNk cs;sJ 2) x = 0 kw;Wk; x = 6 f;fpilNa ,U fz;zpfs; cs;sJ 3) x = -2 kw;Wk; x = 6 f;fpilNa xU fz;zp kl;LNk cs;sJ 4) x = -2 kw;Wk; x = 6 f;fpilNa xU fz;zp kl;LNk cs;sJ

29. dxx

4/

0

32cos

1) 3

2 2)

3

1 3) 0 4)

3

2

30. x2/3

+ y2/3

= 4

1) 48 2) 24 3) 12 4) 96

31. P z zz 212 P

1) x = 4

1

2) y = 4

1

3) z = 2

1

4) x2 + y

2 - 4x - 1 = 0

32. y = x , y = 1 x = 0 y -

1) 4

2)

2

3)

3

4)

3

2

33.

aa

dxxfdxxf

0

2

0

2 vd ,Uf;f Ntz;Lkhapd;

1) xfxaf 2 2) xfxaf 3) xfxf 4) xfxf

34. dx + xdy = e-y

sec2 y dy

1) ex 2) e-x 3) ey 4) e-y 35. m vd;w khwj;jf;f khwpypiaf; nfhz;l mx

ey vd;w rkd;ghl;bd; tiff;nfOr; rkd;ghL

1)'y

y 2)

y

y ' 3) y’ 4) y

36. x y 450, 60

0

z

1) 300 2) 90

0 3) 45

0 4) 60

0

37. y = ae3x

+ be-3x

a b

1) 02

2

aydx

yd 2) 09

2

2

ydx

yd 3) 09

2

2

dx

dy

dx

yd 4) 09

2

2

xdx

yd

38. x2dy +y(x + y ) dx = 0 y=vx

1) xdv + (2v+v2)dx = 0 2) vdx + (2x+x

2)dv = 0

3) v2dx - (x+x

2)dv = 0 4) vdv + (2x+x

2)dx = 0

39. ehz; AB, 1862 kjir vd;w Nfhsj;jpd; tpl;lkhfpd;wJ. A -,d; Maj; njhiyfs;

(3,2,-2) vdpy; B – ,d; Maj;njhiyfs; 1) (1,0,10) 2) (-1,0,-10) 3) (-1,0,10) 4) (1,0,-10) 40. p q

1) p q 2) p ~q 3) ~ p q 4) p q




----------------------------------------------------------------------------------------------------------------------------------- Fwpg;G: gFjp – M 10 x 6=60 i)vitNaDk; gj;J tpdhf;fSf;F tpilaspf;fTk.; ii)tpdh vz; 55f;F fz;bg;ghf tpilaspf;fTk;. iii) gpw tpdhf;fspypUe;J VNjDk; xd;gJ tpdhf;fSf;F tpilaspf;fTk;:- ------------------------------------------------------------------------------------------------------------------------------------- 41.

42. 113;722;3 yxzyxzyx

43. (i) 0 ax

, 0 bx

, 0 cx

0

x , a

, b

, c

(ii) kjikjir

22)2( 0623 kjir

.

44.

r = )753(

kji +t(

kji 2 )

r = )(

kji +s(

kji 767 )

45. ),0(,21ZZ

2

1

2

1

Z

Z

Z

Z

21

2

1argargarg ZZ

Z

Z

46. t

)42cos(3 tx 2 (K.E)

[K.E. = mmv ,2

1 2

].

47. ,9)(2

xxf ]2,1[

48. z = y2

xe x =2t y = 1- t

dt

dw .

[ ]

49. (i) :

2

0

2cos

xdxex

(ii)

1

1

4cossin xdxx

50. (D2

+ 4D+13)y = cos3x

51. 1 3 (cube roots of unity )

52. ( )

53. 3

‘ ’ ‘ ’ 10

5

54. 300 64.5

3.3 99%

[ : P(0<z<2.33) = 0.49 ].

55. a) )2()4(832

iyixxx x y

( )

b) A, B 10

A

B 6




----------------------------------------------------------------------------------------------------------------------------------- Fwpg;G: gFjp – , 10 x 10=100 i)vitNaDk; gj;J tpdhf;fSf;F tpilaspf;fTk.; ii)tpdh vz; 70f;F fz;bg;ghf tpilaspf;fTk;. iii) gpw tpdhf;fspypUe;J VNjDk; xd;gJ tpdhf;fSf;F tpilaspf;fTk;:- ------------------------------------------------------------------------------------------------------------------------------------ 56. 100

240 260

300 25000

57. sin(A+B) = sinA cosB +cosA sinB

58. A(1, -2, 3) B(-1, 2, -1)

4

1

3

1

2

2

zyx

59. , 0222

xx ,1cot y

n

nnnyy

sin

sin)()(

60. y2-8x+6y+9=0

61.

2

1

400

62. 5x+12y = 9 x2-9y2 = 9

63. 33

sin;cos ayax

2cossincos ayx

64. x

y

y

xu

222

xy

u

yx

u

22

65. 3ay2 = x(x-a)2 (loop)

66. y = sin x x = 0 , x = x-

x-

2π )21log(2

67. 2sin x

x

y

dx

dy

68.

0.051

]6931.02log[ e

69. | z | = 1 M

.

70. a) xy 22 (1, 4)

( )

b)

F(x) =

5,25

1

5,0

2x

x

x

(i) 10 (ii) 8

(iii) 12 15 , .




?

1.

,

.

2. A4 Size (Or) Legal Size .

” ”

.

3. ” ”

,

.

4.

.

5. Slow Learners

, ,

,

, .

6. -

.

.

P.KABILAN, M.Sc., M.Ed.,

ERUMIYAMPATTI (VILL),

KOKKARAPATTI (PO),

PAPPIREDDIPATTI(TK),

DHARMAPURI(DT)

PIN CODE: 636 905.

Cell: 9942361438

If any doubt, Please contact our Padasalai’s Centum Coaching Team Co-ordinator:

Mr. S. Ravi kumar, B.Sc., B.Ed., Headmaster., GHS, Aasanampattu,, Vellore Dt: CellNo: 9994453649 Useful Links:

1. All Other Subject Question Papers Download - Click Here 2. Centum Coaching Team Instructions - Click Here 3. Centum Coaching Team Teacher's Registration Form - Click Here 4. Centum Coaching Team Student's Registration Form - Click Here



AAAA’ A A SPECIAL QUESTION PAPER 2016 B PART III...

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