mathematics objective questions part 5

8/13/2019 Mathematics Objective Questions Part 5

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I M THEM TICS. . . . n' I =[: ~ l then j1 l.{lsa 2b.c. 8d. >If B ~ ij] nndI n then A iseq ual toa, [ ~ ~ ]b t ']c. [: ,1d

3. The co-facto rs of the clements or thesecond rw or the delemnn:llll[ I , are41 1n. - 39 3, l lb. 6 5 lc >. 11. -39d. 13. I, 3

lb b ts equal to

: ., 'a. a-b)(c-b)(c-a)b. ta-b)(a-


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3. w:Jx):Ol'these s Jitomen illo. .l ond 3 are correcth, J. 2 nnd 3 """ ro rroclc. l ond 2 ~ r e correcttl . 2 olonc is cOtroct

11 . A function which j s


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d (2, 3)22 me v of p for which the mdin of

t n r e of curve x = 2py nt fhe pomt(0. ()) is 3. is :il .. tb. 2d. 4

23. lf u (x .,- Y + 7l1 ' . tb.:n( ~ : ; ) Is I J U ~ I ((Io. 4ub. 2/uc. 2u


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32

33 .

34.

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The C ~ J r r e c of t b ~ volum e of theproiate spheroid fonned by the revo lulionf l II. ? ' b .0 I ICc tpsc - , +" -= I Out x - Bxts llia bJ -'-n a'bl

b. 1.7ta1b:.j ,, h 'c -,;" -'I d 1nab 'lb .: length of th.: arc of the ou rvc 6xy =x llo - 1 : i.s luni l3'b. ,, .un.Llsr- t9 U UOIIl stat tha t. r ,. ,, -\1. the SCf1C5 COOVefCS J . un

. . - .. d

I . . . I' t I Ib. I1e serres comerse 11 un -.,._ a.. where e i< "" arb itraryc:.on;;l:lnc. )> 2xy = "- where .: i an : ~ r b i t r nconstJ.ntd. )= . wlcre c. i n arbitraryCO llllllotThe gcmcrol solutfoo of tho diJTcnmtiol. { ) (ilv)1.qlllllwn ,, = \ - -


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'13 The t h o ~ trajectories of thepnr.tbolos y-=4a(x + a). a being thep ~ t r : t m v n: th e curves s.iven by

l =4b(x+b). b being a panmetcrb. y ;.4b(x bJ,b beinj ' parametero : i 4bx. b beinJ a p:n1111et.:rd. x -=4by , heing p:w;n11etc:r

44. l'he seneral solution (If the difl'erenliald v lyequation - -,+ 2""7+ = 0a . ~ [

il , y ~ in (el-k:,) cos'-c,e'""l l ..

'- 1 , _.c. y=c,e '+-c2e - r,xd. )- ~ c , . - r i : l ;

46. A particular inlcgr ll of lbc diD'Ill1lliUJI. d'v , .dx t I l l o.x tSn. I- O.Oi :t..\211b. 1- x CQ ax2tt

lc. - xcos.2a.x2(1\1.. I--xcos2ruc2tt

-17. f'(l. 2) 1111d Qn. IJ) are lWO VettJceS of aI.JiMgl.: PQR _If U1c Jl lopc of side PR ltw1ce the slope of the i d e QR. then thelcx:JS or tlte third ' 'ertex R in y - - =IJ, 2.'< + Sy - 14 = I]c. :c = -l ,y = I xy + 2...: + 5} - 14 =(l48. U lhe th ree s+y = l , x - y = 5 and 2s

+ 3y =k :tl'e I J n C U J T e n l ,then UJe luc oni:L. J

b.c. lld. 1

-1'1, troight lin CJI 1 \ . J l ~ i : t l t the< qiL,Ii(>O (x1 ~ in1f< (:t COS }. y s in fl 2 ~ incllnt


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c. (1 , IId. {2 l

55. 11u:circlc y co< O(ll a ) and y b sin(0 tt) cut other ut an Ingle of

S i.

51

59

;1 QQ"b. 60.c. . 5''d. 30TIe pnrrncuic erepresenl na. a pair ofplooesb. pherec; cyl inderd. cone

61. The equotion of a cylinder. whosegener:slin g lines have the direction cosines(/.UI ,o) ond which passes through lhe fixt d

o i r o 1 a x n: inl11e ZOX pJnne i.sa. (n tX - ly j2 1 (roz - ~b. ( UJIIyf(mz.ny? :a1m2..:. (ly-ruyr (u}'nu 2- " 2m1d. (m.t+ly)11(mz+oy/ a2m1

62. If IJ1ere l'bclor A.B.C ore such U1alA ~ ~ e na. A C ~b. 13. c : ()c. A. t = B.Cd. A C:BCThe rc:s uiL1nt of wo lim:eo Jl and Q s R. [fone of 01c furc:s ill r ~ n : r $ c d in directionllu> b distonee or" S ernb. 25 emc 45 emd. 65 ff il

65. TI1e n n ~ J c betwe.:n two f o ~ F ~ n d 2Facting al voinl when l h ~ re$ulhm l isperp


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67.

68.

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c. l.heir horlzont:ll ~ n dcnmponents mllSt be equald. none of 1 e ~ b < . w eJ a panicle moves 1n one


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2. i f p .. 111. UtL'tl t:ilbtrm - p or r m3. ~ mp i f nd nnly i f u s p4. mn < lllJi f otld cinly i f n p, pmided

m (lSelect the co:t'Tcct rund Id. 1, 2;md 3

78. Consider the followmg n ~ n t b e r s :22 223lr.7 71

n1e CIIJTCCt ~ e q u e n < : in incrca


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c. x ' - 3 ~ +2cl. x3-3x-2

S8. f a . (J. '/ ""' lite roots oJ Uo c equationxJ+p>:'+qx - r : tJ, then lha voluo Qf14-jlltJl+"IX"f+(,JiII.. p qb. t1 - pq.:. r -pqd. r - plt

S\t f < - y +>; = c ond s . . yz.+ .1< = 1 1. th:outlto value of ' - r y ~ + z : -3.xyz isn. 56b. 36c. 2(>d. 1690. lf th" m o L ~ uf th .:qu:uian... a" - 41 .d. - 6

9 1 Given Utnl x +J tn (.1clo r . Ute number ofreoJ rootS of the equnlion x +llx 15= 0 ''u. IIh. I1:. 2tL 4

92. n,e equotion , : ' - 1 6 ~ - 2 ( 1 0 has r;,peted rool. l'he t'Out isn. 2 N:pc11ted twiceb. 2 rcpooted thrittc. - 5 repe:tted t""c_.d. - 5N]' \ S' into disjoints e t s dttlint: l "" ettuivn leno: ~ n ( i < mon s

Uf these st:l tmeotsa. l 311d 2 aro com::db. I and 3 are eom:

mathematics objective questions part 5

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