· PART III- MATHEMATICS Collection of Come Book Public One Mark Questions ...

ERK HSS ERUMIYAMPATTI Page 1 Prepared by Mr.P.Kabilan, PG Maths

E R K Higher Secondary School - Erumiyampatti PART III- MATHEMATICS

Collection of Come Book Public One Mark Questions Mar/Jun/Sep (2006-2016)

------------------------------------------------------------------------------------------------------------------------------ UNIT: I- MATRICES AND DETERMINANTS

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

1. 1

TA =

a) 1A b) T

A c) A d) T

A1

2. rA vdpy; gpd;tUtdtw;Ws; vJ rhp?

a) r thpirAila midj;J rpw;wzpf; Nfhitfspd; kjpg;Gk; G+r;rpaq;fshf ,Uf;fhJ

b) A MdJ Fiwe;jgl;rk; xU r thpir G+r;rpakw;w rpw;wzpf; NfhitahtJ ngw;wpUf;Fk; c) A MdJ Fiwe;jgl;rk; xU (r+1) thpirAila rpw;wzpf;Nfhitapd; kjpg;G G+r;rpakhf ,Uf;Fk;gbahf ngw;wpUf;Fk; d) midj;J (r+1) thpir kw;Wk; mijtpl mjpfkhd thpir nfhz;l G+r;rpakw;w rpw;wzpf; Nfhitfs; ,Uf;Fk;

3. gpd;tUtdtw;Ws; vJ vspa cUkhw;wk; my;y? a)

jiRR b)

jiiRRR 2 c)

ijiCCC d)

jiiCRR

4. rkkhd mzpfs; ngwg;gLtJ

a) NeHkhwpia gad;gLj;jp b) epuy; epiufis khw;wp c) NrHg;G mzpapid fz;L d) vz;zpy; mlq;fpa vspa cUkhw;wq;fis gad;gLj;jp 5. gpd;tUtdtw;Ws; vJ VWgb tbtj;jpy; rhpay;y? a) vy;yhNk G+r;rpa cWg;Gfsha;f; nfhz;l xt;nthU epiuAk; G+r;rpakw;w cWg;Gfis cila epiuf;F fPNo mikjy; Ntz;Lk;. b) xt;nthU G+r;rpakw;w epiuapy; Kjy; cWg;G 1 Mf ,Uj;jy; Ntz;Lk; c) G+r;rpakw;w epiuapy; tUk; Kjy; G+r;rpakw;w cWg;gpw;F Kd;ghf ,lk;ngWk; G+r;rpaq;fspd; vz;zpf;if mjw;F mLj;J tUk; epiuapy; cs;s G+r;rpaq;fspd; vz;zpf;ifia tplf; Fiwthf ,Uj;jy; Ntz;Lk;. d) ,U epiufs; xNu vz;zpf;if cila G+r;rpaq;fis G+r;rpakw;w cWg;gpw;F Kd;djhf ngw;wpUf;fyhk; 6. %d;W khwpfspy; mike;j %d;W Nehpa rkd;ghLfspd; njhFg;gpy; 0 kw;Wk;

x ,

y or

z

-y; VNjDk; xU kjpg;G G+r;rpakw;wjhapd; njhFg;ghdJ

a) xUq;fikT cilaJ b) xUq;fikT mw;wJ

c) xUq;fikT cilaJ kw;Wk; njhFg;ghdJ ,U rkd;ghLfshf khWk;. d) xUq;fikT cilaJ kw;Wk; njhFg;ghdJ xU rkd;ghlhf khWk;

7. %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 a) xUq;fikT cilaJ b) xUq;fikT mw;wJ

c) xUq;fikT cilaJ kw;Wk; njhFg;ghdJ ,U rkd;ghLfshf khWk; d) xUq;fikT cilaJ kw;Wk; njhFg;ghdJ xU rkd;ghlhf khWk; 8. 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 9. BAA , vdpy; njhFg;ghdJ

a) xUq;fikT cilaJ kw;Wk; vz;zpf;ifaw;w jPHTfs; ngw;Ws;sJ

b) xUq;fikT cilaJ kw;Wk; xNu xU jPHT ngw;Ws;sJ c) xUq;fikT cilaJ d) xUq;fikT mw;wJ

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10. BAA , = khwpfspd; vz;zpf;if vdpy;> njhFg;ghdJ


b) xUq;fikT cilaJ kw;Wk; xNu xU jPHT ngw;Ws;sJ c) xUq;fikT cilaJ d) xUq;fikT mw;wJ 11. BAA , vdpy; njhFg;ghdJ


b) xUq;fikT cilaJ kw;Wk; xNu xU jPHT ngw;Ws;sJ c) xUq;fikT cilaJ d) xUq;fikT mw;wJ 12. %d;W khwpfspy; mike;j %d;W Nehpar; rkd;ghLfspy; 1, BAA vdpy;njhFg;ghdJ

a) xNu xU jPHT ngw;wpUf;Fk; b) ,U rkd;ghLfshf khWk; NkYk; vz;zpf;ifaw;w jPHTfs; ngw;wpUf;Fk; c) xU rkd;ghlhf khWk;. NkYk; vz;zpf;ifaw;w jPHTfs; ngw;wpUf;Fk; d) xUq;fikT mw;wJ 13. %d;W khwpfspy; mike;j rkgbj;jhd rkd;ghl;Lj; njhFg;gpy; A khwpfspd;

vz;zpf;if>vdpy; njhFg;ghdJ a) ntspg;gilj; jPHT kl;LNk ngw;wpUf;Fk; b) ,U rkd;ghLfshf khWk;. NkYk; vz;zpf;ifaw;w jPHTfs; ngw;wpUf;Fk; c) xU rkd;ghlhf khWk;. NkYk; vz;zpf;ifaw;w jPHTfs; ngw;wpUf;Fk; d) xUq;fikT mw;wJ

14. %d;W khwpfspy; mike;j %d;W rkr;rPuw;w Nehpar; rkd;ghLfspd; njhFg;gpy; 2, BAA vdpy; njhFg;ghdJ

a) xNu xU jPHT ngw;wpUf;Fk; b) ,U rkd;ghLfshf khWk;. NkYk; vz;zpf;ifaw;w jPHTfs; ngw;wpUf;Fk; c) xU rkd;ghlhf khWk;. NkYk; vz;zpf;ifaw;w jPHTfs; ngw;wpUf;Fk; d) xUq;fikT mw;wJ 15. rkgbj;jhd Nehpar; rkd;ghLfspd; njhFg;gpy; A khwpfspd; vz;zpf;if vdpy;

njhFg;ghdJ a) ntspg;gilj; jPHT kl;LNk ngw;wpUf;Fk; b) ntspg;gilj; jPHT kw;Wk; vz;zpf;ifaw;w ntspg;gilaw;w jPHTfs; ngw;wpUf;Fk; c) ntspg;gilaw;w jPHTfs; kl;LNk ngw;wpUf;Fk; d) jPHTfs; ngw;wpUf;fhJ

16. vg;nghOJ fpNukhpd; tpjp (%d;W khwpfspy;) nraw;gLj;j KbAk;? a) 0 b) 0 c) 0,0

x d) 0

zyx

17. gpd;tUtdtw;wpy;>rkgbj;jhd njhFg;ig nghWj;j tiuapy; vJ rhpahdJ? a) vg;nghOJNk xUq;fikT mw;wJ

b) ntspg;gilj; jPHit kl;LNk ngw;wpUf;Fk; c) ntspg;gilaw;w jPHTfis kl;LNk ngw;wpUf;Fk; d) nfOf;fs; mzpapd; juk;> khwpfspd; vz;zpf;iff;Fr; rkkhf ,Uf;Fk;NghJ kl;LNk ntspg;gilj; jPHtpid kl;Lk; ngw;wpUf;Fk; ------------------------------------------------------------------------------------------------------------------------------

UNIT: II - VECTOR ALGEBRA ------------------------------------------------------------------------------------------------------------------------------

1. kjia 2 kw;Wk; kjib 744 vdpy; ba ,d; kjpg;G

a) 19 b) 3 c) -19 d) 14

2. ji kw;Wk; kj vd;w ntf;lHfSf;F ,ilg;gl;l Nfhzk;

a) 3

b)

3

2 c)

3

d)

3

2

3. cba ,, vd;git xd;Wf;nfhd;W nrq;Fj;jhd %d;W myF ntf;lHfs; vdpy; cba

a) 3 b) 9 c) 33 d) 3

4. vu , kw;Wk; w Mfpa ntf;lHfs; 0 wvu vDkhW cs;sd. 4,3 vu

kw;Wk; 5w

vdpy; uwwvvu ,d; kjpg;G

a) 25 b) -25 c) 5 d) 5

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5. z-mr;rpd; kPJ ji ,d; tPoy;

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

6. kji 52 kPJ kji 22 ,d; tPoy;

a) 30

10 b)

30

10 c)

3

1 d)

30

10

7. kji 24 ,d; kPJ kji 3 ,d; tPoy;

a) 21

9 b)

21

9 c)

21

81 d)

21

81

8. A ,d; epiy ntf;lH ,762 kji kw;Wk; B ,d; epiy ntf;lH ,53 kji vd;f. xUJfs; A

vd;w Gs;spapypUe;J B vd;w Gs;spf;F kjiF 3 vd;w tpirapd; nray;ghl;bdhy; efHj;jg;ngw;why; mt;tpir nra;Ak; NtiyasT a) 25 b) 26 c) 27 d) 28

9. kjiaF vd;w tpirahdJ xU Jfis (1,1,1) vd;w Gs;spapypUe;J (2,2,2) vd;w

Gs;spf;F NeHf;Nfhl;by; efHj;Jk; NghJ fpilf;Fk; Ntiyapd; msT 5 vdpy;> a-d; kjpg;G a) -3 b) 3 c)8 d) -8

10. baba vdpy; a f;Fk; b f;Fk; ,ilg;gl;l Nfhzk;

a) 4

b)

3

c)

6

d)

2

11. 522 zyx vd;w jsj;jpd; nrq;Fj;J myF ntf;lH

a) kji 22 b) kji 223

1 c) kji 22

3

1 d) kji 22

3

1

12. MjpapypUe;J 261243 kjir vd;w jsj;jpw;F tiuag;gl;l nrq;Fj;jpd; ePsk;

a)26 b) 26 / 169 c) 2 d) 1 / 2

13. 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

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

njhiyfs; (3,2,-2) vdpy; B –,d; Maj;njhiyfs; a) (1,0,10) b) (-1,0,-10) c) (-1,0,10) d) (1,0,-10)

15. 542 kjir vd;w Nfhsj;jpd; ikak; kw;Wk; Muk;

a) ( 2 , -1 , 4 ) kw;Wk; 5 b) ( 2 , 1 , 4 ) kw;Wk; 5 c) ( -2 , 1 , 4 ) kw;Wk; 6 d) ( 2 , 1 , -4 ) kw;Wk; 5

16. 4432 kjir vd;w Nfhsj;jpd; ikak; kw;Wk; Muk;

a) 4,2,2

1,

2

3

b) 22,

2

1,

2

3and

c) 6,2,

2

1,

2

3

d) 52,

2

1,

2

3and

17. a vd;gjid epiy ntf;luhf nfhz;l Gs;sp topr; nry;yf; $baJk; n vd;w ntf;lUf;F nrq;Fj;jhdJkhd jsj;jpd; rkd;ghL

a) nanr b) nanr c) nanr d) nanr

18. MjpapypUe;J p J}uj;jpYk; n̂ vDk; myF ntf;lUf;Fr; nrq;Fj;jhfTk; cs;s jsj;jpd; ntf;lH rkd;ghL

a) pnr b) qnr

c) pnr d) pnr

19. a I epiy ntf;luhf nfhz;l Gs;sp topahfTk; u kw;Wk; v f;F ,izahfTk; mike;j

jsj;jpd; Jiz myF my;yhj ntf;lH rkd;ghL

a) 0,, vuar b) 0vur c) 0 vuar d) 0vua

20. 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

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21. cba ,, fis epiy ntf;lHfshf nfhz;l xNu Nfhl;byikahj %d;W Gs;spfs; topr; nry;Yk; jsj;jpd; Jiz myF my;yhj ntf;lH rkd;ghL

a) 0 acabar b) 0bar c) 0cbr d) 0cba

22. 11

. qnr

kw;Wk; 22

. qnr

Mfpa jsq;fspd; ntl;Lf;NfhL topahfr; nry;Yk; jsj;jpd; ntf;lH rkd;ghL

a) 02211

qnrqnr b) 2121

qqnrnr

c)2121

qqnrnr d) 2121

qqnrnr

23. btar

vd;w nfhl;ow;Fk; qnr

. vd;w jsj;jpw;Fk; ,ilg;gl;l Nfhzk; vdpy;

a)q

na cos b)

nb

nb cos c)

n

ba sin d)

nb

nb sin

24. ikak; MjpahfTk;> Muk; ‘a’ MfTk; nfhz;l Nfhsj;jpd; ntf;lH rkd;ghL

a) r a b) acr c) ar d) ar

------------------------------------------------------------------------------------------------------------------------------ UNIT: III - COMPLEX NUMBERS

------------------------------------------------------------------------------------------------------------------------------ 1. iba = 7268 ii vdpy; a kw;Wk; b ,d; kjpg;Gfs;

a) 8, -15 b) 8, 15 c) 15, 9 d) 15, -8

2. iiqip 2432 vdpy; q ,d; kjpg;G

a) 14 b) -14 c) -8 d) 8 3. xd;wpd; Kg;gb %yq;fs; a) ngUf;Fj; njhlH Kiw (G.P) apy; cs;sd. nghJ tpfpjk;

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

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

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

4. xU fyg;ngz;zpd; n-Mk; gb %yq;fspd; tPr;Rfspd; tpj;jpahrk;

a) n

2 b)

n

c)

n

3 d)

n

4

5. gpd;tUk; $w;Wfspy; vJ rhpahdJ? a) Fiw fyg;ngz;fs; tiuaWf;fg;gl;Ls;sJ b) thpirj; njhlHG nka;naz;fspy; tiuaWf;fg;gltpy;iy c) thpirj; njhlHG fyg;ngz;fspy; tiuaWf;fg;gl;Ls;sJ

d) ii 231 vd;gJ mHj;jkw;wJ

6. gpd;tUtdtw;Ws; vJ rhpahdJ?

(i) ZZ )Re( (ii) ZZ )Im( (iii) ZZ (iv) n

nZZ

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

7. ZZ -,d; kjpg;G

a) Z b) 2Z c) 2 Z d) 2 2

Z

8. 1ZZ = 2

ZZ vdpy; fyg;ngz; Z -,d; epakg;ghij

a) Mjpia ikakhff; nfhz;l tl;lk; b) 1

Z -I ikakhff; nfhz;l tl;lk;

c) Mjptopr; nry;Yk; NeHf;NfhL d)

1Z kw;Wk;

2Z -fis ,izf;Fk; Nfhl;bd; nrq;Fj;J ,U rkntl;b

9. argZ -,d; Kjd;ik kjpg;G mikAk; ,ilntsp

a)

2,0

b) , c) ,0 d) 0,

10. p kw;Wk; q G+r;rpakpy;yhj nghJf; fhuzpfsw;w KO vz;fs; vdpy; q

p

i sincos -,d;

kjpg;Gfspd; vz;zpf;if a) p b) q c) p + q d) p - q

11. iiee

-,d; kjpg;G

a) sin b) sin2 c) sini d) sin2 i

12. ibaZ 1

, ibaZ 2

vdpy; 21

ZZ miktJ

a) nka; mr;rpy; b) fw;gid mr;rpy; c) y = x vd;w NeHf;Nfhl;by; d) y = -x vd;w NeHf;Nfhl;by;

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13. P(x)=0 vd;w gy;YWg;Gf; Nfhitr; rkd;ghl;bd; %yq;fs; fyg;ngz; ,iz N[hbfshf ,Uf;f Ntz;Lkhapd; mjd; Fzfq;fs; a) fw;gid vz;fs; b) fyg;ngz;fs; c) nka; vz;fs; d) nka; vz;fs; my;yJ fw;gid vz;fs; 14. gpd;tUtdtw;wpy; vJ cz;ikay;y?

a) 2121zzzz b) 2121

zzzz c) 2

)Re(zz

z

d) i

zzz

2)Im(

15. gpd;tUtdtw;Ws; vJ rhpahdjy;y?

a) ZZ )Re( b) ZZ )Im( c) 2ZZZ d) ZZ )Re(

16. gpd;tUtdtw;Ws; vJ rhpahdjy;y? a) 2121

ZZZZ b) 2121

ZZZZ c) 2121ZZZZ d) 2121

ZZZZ

17. gpd;tUtdtw;Ws; vJ rhpahdjy;y? a) Z vd;gJ nka; mr;rpy; Z -,d; gpujpgypg;G b) Z -,d; JUt tbtk; ,r

c) Z vd;gJ Mjpiag; nghWj;J Z f;F rkr;rPuhf mike;j Gs;sp d) Z -,d; JUt tbtk; ,r

18. xd;wpd; n-Mk; gb %yq;fis nghWj;J gpd;tUtdtw;Ws; vJ rhpahdjy;y? a) ntt;Ntwhd %yq;fspd; vz;zpf;if n

b) %yq;fs;> n

cis2 nghJ tpfpjkhff; nfhz;L ngUf;Fj; njhlH Kiw (G.P.) -,y; cs;sd.

c) tPr;Rfs;> n

2 nghJ tpj;jpahrkhff; nfhz;L $l;Lj; njhlH Kiw (A.P.) -,y; cs;sd.

d) %yq;fspd; ngUf;fy; 0 kw;Wk; %yq;fspd; $Ljy; 1 19. gpd;tUtdtw;Ws; vJ rhpahdJ? i) n xU kpif KG vz; ;; vdpy; nini

n

sincossincos

ii) n xU Fiw KO vz; vdpy; ninin

sincossincos

iii) n xU gpd;dk; vdpy; nin sincos vd;gJ n

i sincos vd;gjd; xU kjpg;G MFk;

iv) n Fiw KO vz; vdpy; ninin

sincossincos

a) (i) , (ii) , (iii), (iv) b) (i), (iii), (iv) c) (i), (iv) d) (i) only 20. Z = 0 vdpy; Zarg is

a) 0 b) c) 2

d) tiuaWf;f ,ayhJ

------------------------------------------------------------------------------------------------------------------------------ UNIT: IV- ANALYTICAL GEOMETRY

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

1. 149

22

yx

-,d; nel;lr;R kw;Wk; Fw;wr;rpd; rkd;ghLfs;

a) x = 3 , y = 2 b) x = -3 , y = -2 c) x = 0, y = 0 d) y = 0, x = 0

2. 123422 yx -,d; nel;lr;R kw;Wk; Fw;wr;rpd; rkd;ghLfs;

a) 2,3 yx b) x = 0 , y = 0 c) 2,3 yx d) y =0 , x = 0

3. 123422 yx -,d; nel;lr;R kw;Wk; Fw;wr;rpd; ePsq;fs;

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

4. 1916

22

yx

-,d; ,af;Ftiufspd; rkd;ghLfs;

a) 7

4y b)

7

16x c)

7

16x d)

7

16y

5. 1916

22

yx

-,d; nrt;tfyj;jpd; rkd;ghLfs;

a) 7y b) 7x c) 7x d) 7y

6. 194

22

yx

vd;w ePs;tl;lj;jpd; Ftpaq;fs;

a) 0,5 b) 5,0 c) 5,0 d) 0,5

7. 36002514422 yx vd;w mjpgutisaj;jpd; FWf;fr;R kw;Wk; Jiz mr;rpd; rkd;ghLfs;

a) y = 0 ; x = 0 b) x = 12 ; y = 5 c) x = 0 ; y = 0 d) x = 5 ; y = 12

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8. ( -3, 1) -,ypUe;J xy 82 vd;w gutisaj;jpw;F tiuag;gLk; njhLNfhLfspd; njhLehzpd;

rkd;ghL a) 0124 yx b) 0124 yx c) 0124 xy d) 0124 xy

9. (5,3) ypUe;J 246422 yx vd;w mjpgutisaj;jpw;F tiuag;gLk; njhLNfhLfspd;

njhLehzpd; rkd;ghL a) 012109 yx b) 012910 yx c) 012109 yx d) 012910 yx

10. cmxy vd;w njhLNfhL kw;Wk; axy 42 vd;w gutisak; ,tw;wpd; njhLGs;sp

a)

m

a

m

a 2,

2 b)

m

a

m

a,

2

2 c)

2

2,

m

a

m

a d)

m

a

m

a 2,

2

11. cmxy vd;w njhLNfhL kw;Wk; 12

2

2

2

b

y

a

x vd;w ePs;tl;lk; ,tw;wpd; njhLg;Gs;sp

a)

c

ma

c

b22

, b)

c

b

c

ma22

, c)

c

b

c

ma22

, d)

c

b

c

ma22

,

12. axy 42 vd;w gutisaj;jpd; Ftp ehzpd; ,Wjpg; Gs;spfs; ''''

21tt vdpy;

21tt =

a) -1 b) 0 c) 1 d) 1 / 2

13. axy 42 vd;w gutisaj;jpw;F ''

1t -,y; tiuag;gLk; nrq;NfhL gutisaj;ij kPz;Lk; ''

2t -

,y; re;jpf;Fk; vdpy;

1

1

2

tt vd;gJ

a) 2

t b) 2

t c) 21

tt d) 2

1

t

14. 0 nmylx vd;w NfhL 12

2

2

2

b

y

a

xvd;w ePs;tl;lj;jpw;F nrq;Nfhlhf mika epge;jid

a) 02223

nmalmal b)

2

222

2

2

2

2

n

ba

m

b

l

a

c)

2

222

2

2

2

2

n

ba

m

b

l

a d)

2

222

2

2

2

2

n

ba

m

b

l

a

15. 0 xmylx vd;w NfhL axy 42 vd;w gutisaj;jpw;F nrq;Nfhlhf mika epge;jid

a) 02223

nmalmal b)

2

222

2

2

2

2

n

ba

m

b

l

a

c)

2

222

2

2

2

2

n

ba

m

b

l

a d)

2

222

2

2

2

2

n

ba

m

b

l

a

16. ,af;Ftiuapd; kPJs;s VNjDk; xU Gs;spapypUe;J 12

2

2

2

b

y

a

x vd;w mjpgutisaj;jpw;F

tiuag;gLk; njhLNfhLfspd; njhLehz; vjd; topNa nry;Yk;? a) Kid b) Ftpak; c) ,af;Ftiu d) nrt;tfyk;

17. axy 42 vd;w gutisj;jpy; ''

1t kw;Wk; ''

2t vd;w Gs;spfspypUe;J tiuag;gLk; njhLNfhLfs;

re;jpf;Fk; Gs;sp

a) 2121

, tattta b) 2121

, ttatat c) atat 2,2 d)

2121, ttatat

18. 2cxy vd;w nrt;tf mjpgutisaj;jpy; ''

1t vd;w Gs;spapy; tiuag;gLk; nrq;NfhL kPz;Lk;

mt;tistiuia ''2

t tpy; re;jpf;fpd;wd. vdpy; 2

3

1tt

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

19. axy 42 vd;w gutisaj;jpd; nrq;Fj;Jj; njhLNfhLfs; ntl;Lk; Gs;spapd; epakg;ghij

a) nrt;tfyk; b) ,af;Ftiu c) Kidapy; tiuag;gLk; njhLNfhL d) gutisaj;jpd; mr;R

20. 12

2

2

2

b

y

a

x vd;w mjpgutisaj;jpw;F mjd; Ftpaj;jpypUe;J xU njhLNfhl;bw;F

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

a) 2222bayx b) 222

ayx c) 2222

bayx d) 0x

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21. 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

a) 2222bayx b) 222

ayx c) 2222bayx d) 0x

22. 12

2

2

2

b

y

a

xvd;w ePs;tl;lj;jpd; nrq;Fj;Jj; njhLNfhLfs; ntl;L Gs;spapd; epakg;ghij

a) 2222bayx b) 222

ayx c) 2222bayx d) 0x

23. 0 nmylx vd;w NeHf;NfhL 12

2

2

2

b

y

a

x vd;w ePs;tl;lj;jpw;F njhLNfhlhf mika

epge;jid

a) 22222nmbla b) nlam

2 c) 22222nmbla d) 22

4 nlmc

24. 0 nmylx vd;w NeHf;NfhL 2cxy nrt;tf mjpgutisaj;jpw;F njhLNfhlhf mika

epge;jid

a) 22222nmbla b) nlam

2 c) 22222nmbla d) 22

4 nlmc ------------------------------------------------------------------------------------------------------------------------------

UNIT: V- DIFFERENTIAL CALCULUS-APPLICATIONS-I ------------------------------------------------------------------------------------------------------------------------------ 1. nts;sg; ngUf;fj;jpd; NghJ n`ypfhg;lH %yk; ,lg;gl;l czTg; nghUl;fs; “ t “

tpdhbapy; fle;j J}uk; 22/8.9

2

1smggty . Vdpy; mJ Nghlg;gl;l 2-tpdhbfSf;Fg; gpd;

mg;nghUspd; Ntfk; a) 19.6 kP / tpdhb b) 9.8 kP / tpdhb c) – 19.6 kP / tpdhb d) – 9.8 kP / tpdhb 2. jiuapypUe;J Vtg;gl;l xY VTfidahdJ “ t “ tpdhbapy; x kPl;lH epiyf;Fj;jhf vOk;GfpwJ. NkYk; ttx 5.12100 . me;j VTfiz mile;j kPg;ngU cauk;

a) 100kPl;lH b) 150 kPl;lH c) 250 kPl;lH d) 200 kPl;lH 3. ,ilkjpg;G tpjpapd; khw;W tbtk; a) 10' hahfafhaf

b) 10' hahfafhaf

c) 10' hahfafhaf

d) 10' hahfafhaf

4. 3

1

x

x vd;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

5. x

x

x tanlim

0

-,d; kjpg;G

a) 1 b) - 1 c) 0 d) 6. ,ilntsp I -,y; tiuaWf;fg;gl;l> tifaplj;jf;f rhHgpd; tiff;nfOf;fs; kpif vdpy;> rhHG f MdJ a) I -apy; VWk; rhHG b) I -apy; ,wq;Fk; rhHG c) I -apy; jpl;lkhf VWk; rhHG d) I -apy; jpl;lkhf ,wq;Fk; rhHG 7. xU tistiuapd; rha;T P f;F Kd; kpifahf ,Ue;J “ P “ f;F gpd; Fiwahf ,Ug;gpd; P vd;gJ a) kPr;rpWg;Gs;sp b) kPg;ngUg;Gs;sp c) tisT khw;Wg;Gs;sp d) njhlHr;rpaw;w Gs;sp

8. 2xxf vd;w rhHGf;F

a) x = 0 tpy; ngUk kjpg;G cz;L b) x = 0 tpy; rpWk kjpg;G cz;L c) KbTW vz;zpf;ifAs;s ngUk kjpg;Gfs; cz;L d) KbTwh vz;zpf;ifAs;s ngUk kjpg;Gfs; cz;L 9. f MdJ a tpy; ,lQ;rhHe;j ngUk/rpWk kjpg;G ngw;W kw;Wk; f ‘ ( a ) fpilf;Fnkdpy; a) f ‘ ( a ) < 0 b) f ‘ ( a ) > 0 c) f ‘ ( a ) = 0 d) f “ ( a ) = 0 10. xU njhlHr;rpahd tistiuapy; FopT gFjpapypUe;J FtpT gFjpahf khw;wk; ngWk; Gs;sp a) ngUk Gs;sp b) rpWk Gs;sp c) tisT khw;Wg; Gs;sp d) rpWk Gs;sp 11. f ‘ ( x ) = 0 vd;w rkd;ghl;bw;F x = x0 vd;w %ykhdJ ,ul;il thpir nfhz;Ls;sJ vdpy; x = x0 MdJ a) ngUk Gs;sp b) rpWk Gs;sp c) tisT khw;Wg; Gs;sp d) khWepiyg;Gs;sp

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12. “f vd;w rhHghdJ %ba ,ilntsp [ a, b ] apy; njhlHr;rpahf ,Ue;jhy; f MdJ kPg;ngU ngUk kjpg;G f ( c ) iaAk; kPr;rpW rpWk kjpg;G f(d) iaAk; VNjDk; c kw;Wk; d vz;fSf;F ,ilntsp [ a , b ] apy; ngw;wpUf;Fk; “ vd;Dk; $w;whdJ a) Kfl;L kjpg;Gj; Njw;wk; b) /ngHnkl; Njw;wk; c) ,ilkjpg;G tpjp d) Nuhypd; Njw;wk; 13. “ rhHG f MdJ c apy; ,lQ;rhHe;j (ngUkk; my;yJ rpWkk; ) ngw;W f ‘ ( c ) epiyj;jpUg;gpd; f “ ( c ) = 0 vd;Dk; $w;whdJ a) Kfl;L kjpg;Gj; Njw;wk; b) /ngHnkl; Njw;wk; c) ,ilkjpg;G tpjp d) Nuhypd; Njw;wk; 14. jtwhd $w;iw NjHe;njL a) vy;yh epiyg;Gs;spfSk; khWepiyg; Gs;spfshFk; b) epiyg;Gs;spapy; Kjy; tiff;nfO G+r;rpakhFk; c) khWepiyg;Gs;spapy; Kjy; tiff;nfO epiyj;jpUf;f Ntz;ba mtrpakpy;iy d) vy;yh khWepiyg; Gs;spfSk; epiyg;Gs;spfNs 15. rhpahd $w;iw NjHe;njL i) xU njhlHr;rpahd rhHghdJ ,lQ;rhHe;j ngUkk; ngw;wpUg;gpd; kPg;ngU ngUkKk; ngw;wpUf;Fk; ii) xU njhlHr;rpahd rhHghdJ ,lQ;rhHe;j rpWkk; ngw;wpUg;gpd; kPr;rpW rpWkKk; ngw;wpUf;Fk; iii) xU njhlHr;rpahd rhHghdJ kPg;ngU ngUkk; ngw;wpUg;gpd; ,lQ;rhHe;j ngUkKk; ngw;wpUf;Fk; iv) xU njhlHr;rpahd rhHghdJ kPr;rpW rpWkk; ngw;wpUg;gpd; ,lQ;rhHe;j rpWkKk; ngw;wpUf;Fk; a) (i) kw;Wk; (ii) b) (i) kw;Wk; (iii) c) (iii) kw;Wk; (iv) d) (i) , (iii) kw;Wk; (iv) 16. 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; a) (i) , (ii) kw;Wk; (iii) b) (i) kw;Wk; (iii) c) (iii) kw;Wk; (iv) d) (i) , (iii) kw;Wk; (iv) 17. fPo;f;fhZk; $w;wpy; vJ rhpay;y? a) njhlf;f jpirNtfk; vd;gJ t = 0 tpYs;s jpirNtfk; b) njhlf;f KLf;fk; vd;gJ t = 0 tpYs;s KLf;fk; c) xU Jfs; nrq;Fj;jhfr; nrd;W mjpfgl;r cauk; milAk; NghJ mjd; jpirNtfk; G+r;rpaky;y d) xU JfshdJ fpilkl;l ,af;fj;jpy; Njf;f epiyf;F tUk; Neuj;jpy; v = 0 18. fPo;f;fhZk; $w;Wfspy; vit rhpahd $w;Wfs;? (,U NfhLfspd; rha;Tfs; m1 kw;Wk; m2 MFk;) i) ,U NfhLfs; nrq;Fj;jhf ,Ug;gpd; 1

21mm

ii) 121

mm vdpy; ,U NfhLfSk; nrq;Fj;jhf ,Uf;Fk;

iii) 21

mm vdpy; ,U NfhLfSk; ,izahf ,Uf;Fk;

iv) 2

1

1

mm vdpy; ,U NfhLfSk; nrq;Fj;jhf ,Uf;Fk;

a) (ii), (iii) kw;Wk; (iv) b) (i), (ii) kw;Wk; (iv) c) (iii) kw;Wk; (iv) d) (i) kw;Wk; (ii) 19. Nuhypd; Njw;wj;jpd; xU tpjp a) ( a , b ) vd;w ,ilntspapy; f tiuaWf;fg;gl;L njhlHr;rpahfTs;sJ b) [ a , b ] vd;w ,ilntspapy; f tifaplj;jf;fjhf cs;sJ c) f ( a ) = f ( b ) d) ( a , b ) vd;w ,ilntspapy; f tifaplj;jf;fjhf cs;sJ 20. ,ilkjpg;G tpjpapd;gb ‘ ’ tpd; kjpg;G ve;j epge;jidia epiwT nra;a Ntz;Lk;. a) 0 b) 0 c) 1 d) 10

------------------------------------------------------------------------------------------------------------------------------ UNIT:VI- DIFFERENTIAL CALCULUS-APPLICATIONS-II

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

1. xxxy 6222

vd;w tistiu ve;j ,ilntspapy; tiuaWf;fg;gl;Ls;sJ.

a) 62 x b) 62 x c) 62 x d) 62 x

2. xxy 122

vd;w tistiu ve;j ,ilntspapy; kl;LNk tiuaWf;fg;gl;Ls;sJ.

a) 1x b) 1x c) 1x d) 1x

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3. tistiu baandbabxaxy 0,22 MdJ tiuaWf;f ,ayhj gFjp

a) ax b) x = b c) axb d) x = a

4. tistiu xxxy 1122 MdJ tiuaWf;fg;gl;Ls;s ,ilntsp

a) 11 x b) 11 x c) 11 x d) 11 x

5. 22222xaxya vd;w tistiu tiuaWf;fg;gl;l ,ilntsp

a) axandax b) axandax c) axandax d) axandax

6. 22

21 xxy vd;w tistiu ve;j ,ilntspapy; tiuaWf;fg;gltpy;iy

a) 1x b) 2x c) 2x d) 1x

------------------------------------------------------------------------------------------------------------------------------ UNIT: VII- INTEGRAL CALCULUS

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

1. dxxIn

nsin vdpy;

nI

a)2

1 1cossin

1

n

nI

n

nxx

n b)

2

1 1cossin

1

n

nI

n

nxx

n

c) 2

1 1cossin

1

n

nI

n

nxx

n d)

n

nI

n

nxx

n

1cossin

1 1

2.

aa

dxxfdxxf

0

2

0

2 vd ,Uf;f Ntz;Lkhapd;

a) xfxaf 2 b) xfxaf c) xfxf d) xfxf

3. 0

2

0

a

dxxf vd ,Uf;f Ntz;Lkhapd;

a) xfxaf 2 b) xfxaf 2 c) xfxf d) xfxf

4. f ( x ) XH xw;iwg;gilr; rhHG vdpy;

a

a

dxxf =

a)

a

dxxf

0

2 b)

a

dxxf

0

c) 0 d)

a

dxxaf

0

5.

aa

dxxafdxxf

00

2

a)

a

dxxf

0

b)

a

dxxf

0

2 c)

a

dxxf

2

0

d)

a

dxxaf

2

0

6. f ( x ) XH ,ul;ilg;gilr; rhHG vdpy;

a

a

dxxf =

a) 0 b)

a

dxxf

0

2 c)

a

dxxf

0

d)

a

dxxf

0

2

7.

b

a

dxxf =

a)

a

dxxf

0

2 b)

b

a

dxxaf c)

b

a

dxxbf d)

b

a

dxxbaf

8. x = f ( y ) vd;w tistiu, y-mr;RlDk; kw;Wk; y = c , y = d vd;fpw NfhLfshy; milgLk; gug;G>y-mr;irg; nghWj;J Row;Wk; NghJ cUthf;fg;gLk; jplg;nghUspd; fdmsT

a)

d

c

dyx2

b)

d

c

dxx2

c)

d

c

dxy2

d)

d

c

dyy2

9. x = f ( y ) vd;w tistiu y-mr;rpw;F ,lg;Gwk;> y = c kw;Wk; y = d Mfpa NfhLfSld; Vw;gLj;Jk; gug;G

a)

d

c

dyx b)

d

c

dyx c)

d

c

dxy d)

d

c

dxy

10. y = f (x ) vd;w tistiuf;F x = a apypUe;J x = b tiu cs;s tpy;ypd; ePsk;

a) dxdx

dyb

a

2

1 b) dxdy

dxd

c

2

1 c) dxdx

dyy

b

a

2

12

d) dx

dy

dxy

b

a

2

12

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11. y = f ( x ) vd;w tistiu x =a , x = b Mfpa NfhLfs; x-mr;R Mfpatw;why; milgLk; gug;gpid x-mr;irg; nghWj;J Row;wpdhy; Vw;gLk; jplg;nghUspd; tisgug;G

a) dxdx

dyb

a

2

1 b) dxdy

dxd

c

2

1 c) dxdx

dyy

b

a

2

12 d) dxdy

dxy

b

a

2

12

12. dxexx4

0

5

=

a)6

4

!6 b)

54

!6 c)

64

!5 d)

54

!5

13. dxxemx 7

0

=

a) m

m

7

! b)

7

!7

m c)

17

!

m

m d)

8

!7

m

14. dxexx 2

0

6

=

a)7

2

!6 b)

62

!6 c) !62

6 d) !627

------------------------------------------------------------------------------------------------------------------------------ UNIT: VIII- DIFFERENTIAL EQUATIONS

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

1. dy

dxx

dx

dyy 34 vd;w tiff;nfOr; rkd;ghl;bd; thpir kw;Wk; gb

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

2. 4

3

2

2

2

4

dx

dy

dx

yd vd;w tiff;nfOr; rkd;ghl;bd; thpir kw;Wk; gb

a) 2,1 b) 1, 2 c) 2, 4 d) 4, 2

3. 22''1 yy vd;w tiff;nfOr; rkd;ghl;bd; thpir kw;Wk; gb

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

4. 0

2

3

3

3

2

2

dx

yd

dx

dyy

dx

yd vd;w tiff;nfOr; rkd;ghl;bd; thpir kw;Wk; gb

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

5. 3

2

3''' yyy vd;w tiff;nfOr; rkd;ghl;bd; thpir kw;Wk; gb

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

6. 22

""' yxyy vd;w tiff;nfOr; rkd;ghl;bd; thpir kw;Wk; gb

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

7. 22

""' yxxyy vd;w tiff;nfOr; rkd;ghl;bd; thpir kw;Wk; gb

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

8. 2

2

xdy

dxx

dx

dy

vd;w tiff;nfOr; rkd;ghl;bd; thpir kw;Wk; gb

a) 2,2 b) 2,1 c) 1,2 d) 1,3 9. dydxxdydxx cossin vd;w tiff;nfOr; rkd;ghl;bd; thpir kw;Wk; gb

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

10. khwj;jf;f khwpyp c iaf; nfhz;l 2cxy vd;w rkd;ghl;bd; tiff;nfOr; rkd;ghL

a) xy’’+ x = 0 b) y” = 0 c) xy’ + y = 0 d) xy” - x = 0

11. m vd;w khwj;jf;f khwpypiaf; nfhz;l mxey vd;w rkd;ghl;bd; tiff;nfOr; rkd;ghL

a)'y

y b)

y

y ' c) y’ d) y

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12. 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 ..

13. gpd;tUtdtw;Ws; jtwhd $w;W : a) xU tiff;nfOr; rkd;ghl;bd; thpirahdJ mjpYs;s tiff;nfOf;fspd; thpirfspy;> cr;r thpirahFk;. b) tiff;nfOr; rkd;ghl;bd; gb vd;gJ mjpYs;s cr;r thpir tiff;nfOtpd; gbahFk;. (tiff;nfOtpy; gpd;dq;fs; kw;Wk; gb%yq;fs; ,Ug;gpd; mtw;iw ePf;fpa gpd;)

c)

yxf

yxf

dx

dy

,

,

2

1 vd;gJ Kjy; thpir> Kjy; gb nfhz;l tiff;nfOr; rkd;ghlhFk;.

d) xexy

dx

dy vd;w rkd;ghL x ,y; xU Nehpa rkd;ghlhFk;.

------------------------------------------------------------------------------------------------------------------------------ UNIT: IX-DISCRETE MATHEMATICS

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

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

i. %d;Wld; ehd;iff; $l;bdhy; vl;L ii. #hpad; xU fpufk;

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

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

2. gpd;tUtdtw;Ws; vit $w;Wfs;?

i. 7 + 2 < 10 ii. tpfpjKW vz; fzk; KbthdJ

iii. eP vt;tsT mofhf ,Uf;fpwha;? iv. cdf;F ntw;wp fpl;ll;Lk;

a) (iii) (iv) b) (i) , (ii) c) (i) , (iii) d) (ii) , (iv)

3. p vd;gJ “ fkyh gs;spf;Fr; nry;fpwhs; “ q vd;gJ “ tFg;gpy; ,UgJ khztHfs; cs;sdH “

vd;f. “ fkyh gs;spf;Fr; nry;ytpy;iy my;yJ tFg;gpy; ,UgJ khztHfs; cs;sdH “

a) qp b) qp c) p~ d) qp ~

4. p nka;ahfTk;> NkYk; q njhpahjjhfTk; ,Ug;gpd;>

a) p~ xU cz;ik b) pp ~ xU jtW c) pp ~ xU jtW d) qp xU cz;ik

5. p cz;ikahf ,Ue;J> q-jtwhf ,Ug;gpd;> gpd;tUtdtw;Ws; vit cz;ikapy;iy?

a) qp jtW b) qp cz;ik c) qp jtW d) qp cz;ik

6. fPo;f;fz;ltw;wpy; vjpy; ‘+’ <UWg;Gr; nrayp my;y

a) N b) Z c) C d) 0Q

7. fPo;f;fz;ltw;wpy; vjpy; ‘-’ <UWg;Gr; nraypahFk;.

a) N b) 0Q c) 0R d) Z

8. fPo;f;fz;ltw;wpy; vjpy; ‘ ’ <UWg;Gr; nraypahFk;.

a) N b) R c) Z d) 0C

9. 5 ,d; kl;Lf;Fhpa rHt rk njhFg;gpy; ZkkxZx ,25/ vd;gJ

a) 0 b) 5 c) 7 d) 2

10. (G, . ) vd;w Fyj;jpy; iiG ,,1,1 vdpy; –1 ,d; thpir

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

11. 44

,Z vd;w Fyj;jpy; 30 vd;gJ

a) 4 b) 3 c) 2 d) 1

12. syxxxoyoS ,,,, vdpy; ‘o’ vd;gJ

a) NrHg;G tpjpf;F cl;gLk; b) ghpkhw;W tpjpf;F cl;gLk;

c) NrHg;G kw;Wk; ghpkhw;W tpjpf;F cl;gLk; d) NrHg;G kw;Wk; ghpkhw;W tpjpf;F cl;glhJ

13. ,N ,y;> yxyx , ,y; nghpaJ> Nyx , vdpy; ,N vd;gJ

a) milg;G tpjp kl;Lk; nghUe;Jk; b) miuf;Fyk; kl;Lk; MFk;

c) rkdpAila miuf;Fyk; kl;Lk; MFk; d) xU Fyk;

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14. ,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;

15. ,ul;ilg;gil kpif vz;fspd; fzk;> $l;lypd; fPo;

a) Kbthd Fyk; b) miuf;Fyk; kl;Lk; c) rkdpAila miuf;Fyk; kl;Lk; d) Kbtw;w Fyk;

16. 55

,0 Z ,y; 3

a) 5 b) 3 c) 4 d) 2

17. (G, . ) vd;w Fyj;jpy; iiG ,,1,1 vdpy; i ,d; thpir

a) 2 b) 0 c) 4 d) 3

18. 55

,0 Z ,y; 20

a) 5 b) 3 c) 4 d) 2

19. 55

,0 Z ,y; 40

a) 5 b) 3 c) 4 d) 2

------------------------------------------------------------------------------------------------------------------------------ UNIT: X- PROBABILITY DISTRIBUTIONS

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

1. xU jdpepiy rktha;g;G khwp

a) KbTw;w fzj;jpd; kjpg;Gfisg; ngWfpwJ

b) Fwpg;gpl;l xU ,ilntspapYs;s vy;yh kjpg;GfisAk; ngWfpwJ

c) vz;zpylq;fh kjpg;Gfisg; ngWfpwJ

d) xU KbTw;w my;yJ vz;zplj;jf;f kjpg;Gfisg; ngWfpwJ

2. xU njhlH rktha;g;G khwp

a) KbTw;w fzj;jpd; kjpg;Gfisg; ngWfpwJ

b) Fwpg;gpl;l xU ,ilntspapYs;s vy;yh kjpg;GfisAk; ngWfpwJ

c) vz;zpylq;fh kjpg;Gfisg; ngWfpwJ

d) xU KbTw;w my;yJ vz;zplj;jf;f kjpg;Gfisg; ngWfpwJ

3. X xU jdp epiy rktha;g;G khwp vdpy; aXP

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

4. X xU njhlH rktha;g;G khwp vdpy; aXP

a) aXP b) aXP 1 c) aXP d) 11 aXP

5. X xU njhlH rktha;g;G khwp vdpy;> bXaP

a) bXaP b) bXaP c) bXaP d) NkNyAs;s %d;Wk;

6. xU jdpj;j rktha;g;G khwp X -,d; epfo;jfT epiwr;rhHG p(x) vdpy;

a) 10 xp b) 0xp c) 1xp d) 10 xp

7. ,ay;epiyg; gutiyg; nghWj;J gpd;tUgtdtw;wpy; vit my;yJ vJ rhp?

i) X ( ruhrhp ) vd;w Nfhl;bw;Fr; rkr;rPuhdJ

ii) ruhrhp = ,ilepiy msT = KfL

iii) xU Kfl;Lg;guty;

iv) X tpy; tisT khw;Wg; Gs;spfs; cs;sd.

a) (i) , (ii) kl;Lk; b) (ii) , (iv) kl;Lk; c) (i) , (ii) , (iii) kl;Lk; d) midj;Jk;

8. jpl;l ,ay;epiyg; gutypd; ruhrhpAk;> gutw;gbAk;

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

9. X xU jdpepiy rktha;g;G khwp vdpy;

a) 10 xF b) 0F , 1F

c) 1nnn

xFxFxXP d) xF xU khwpyp rhHG

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10. X xU njhlH rktha;g;G khwp vdpy; vJ jtW?

a) xfxF ' b) 0;1 FF

c) aFbFbxaP d) aFbFbxaP

11. rhpahd $w;Wfs; vit?

i) bXaEbaXE ii) 2

122'' iii)

2 gutw;gb iv) XabaX varvar

2

a) midj;Jk; b) (i) , (ii) , (iii) c) (ii) , (iii) d) (i) , (iv)

12. ,ay;epiy gutypd;NghJ fPNo nfhLf;fg;gl;l $w;wpy; vJ rhpahdJ my;y?

a) Nfhl;lf;nfO G+r;rpakhFk; b) rurhp = ,ilepiy msT = KfL

c) tisTkhw;W Gs;spfs; X d) tistiuapd; kPg;ngU cauk; 2

1

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· PART III- MATHEMATICS Collection of Come Book Public One Mark Questions ...