mathematics objective questions part 1 (1)

8/19/2019 Mathematics Objective Questions Part 1 (1)

1/10

w w w .

e x a m

r a c e . c o

m

IC.S.£ Pn'- 1.993 J of IttM THEM TICS

I.

2,

3

l f ·z· deno las Ute se t of ill lnte


2/10

w w w .

e x a m

r a c e . c o

m

~ ()4

b. 641173c.2

t l173

JJ. lflhe rools ofX'1

- J x • px r L- 0 nre in11riUu11Ctic progr..,.sion lbcn lhe sum ofa quares o f the l>rgc sJ nnd the Sllh"llleslr rs

n. :b . .)~ 11

d. 1012 O ne of the rooll of the ~ u u l i o nil s)

,, .. ,( ' + .... +(ltx + av =o. where t l·ttn 1 aru real , is given ta be 2-3i . nr hel'eiU>itting • tho n c~ t o-2 roo t• noe given tohe I 2,.3 .. n-2. 'Ll1o nih n>nt i•

13.

14.

· nb. u-1c.. 2 -3jd. 2 ~ i

(1. roo1of. ' · Sx : • p l. ~ q - 0 wbere p ~ n d' I nrc reu\ num bers. i ~ 3- i./3. 11 ' renlroot Ill:l. 2

b. Gc.. 9d. l2l\'lnlch lliit I and 2I ist I

\.

B.

D .

15,

I >.

17.

18,

.

?,().

Lis t 2l Xn Yr Z.2. X ~ Y Z

.3. Y ~ t x Z

4. Z r ,(.X>.N )The co rrect O)olch is

A B•• 2 3h. 3 2

· 4 3

c

42

()

I1

d. 2 3 4 I

~ ~ ~ ~In

l f ·A · und ·B arc • ub scrts ofn Jc l ·x· . th en[ \ r (XIIl)J - H is equal to

•• nb. A Be. A

d. Bl,c:t · : - .~ nnd ·y • be two finite C l ~huving' ani n elements respcctrvcl y. Wlull. i l l

be th e number of dlslin ol relations tl1nt cnnbe det'ined from : \ 10 ' Y''/a m n

b. mnc. t

d. t '

Th e relatio n of r. o.erbood in tllo c l of allllHffi s

• · Symmc:frieb. Rcl1e:


3/10

w w w .

e x a m

r a c e . c o

m

,._ 1n 11 ring ~ b : { )unpliC eilhcr n: 0 or I>= 0

b. F.very finite ring is an integm l domoinc. very lin ite mte gr•l domain is a l iel dd 'Inc WI of natural nnml>er.< is a ring

with respec t to the usun I oddil inn andm u l l i p t ie ~ i u n

2 1. ' rh e ekmc:rtiS .,r a mntnx ~ J n9 J. , nrcNnli f

22

13

24

25.

: t . ta. J " Ia. I.

b. l.'if l. = P r l "'c. r•, t. is in:\ ·erti ble'L •n rc all com plcg num ber s.If A~ [ ~

I ' B[ ~ ~I ruu lC = [ ' ' "

8 J h tll w hich one of t h ~- m l i . . . . .following relation.• is tme'l·' · ("- A O$ ( ~ .B , ;11 f)b . ~ • in 0 I .B oin 0c.. C'- A sin r;l· B . o ~0J. c A CO§ A; s ~ l n o\Vhit:h C)ll" ~ rthe: foUowing tt"' o peut iouswi U reswr e th o ~l e u t t - n t u l )rnalri C [ ~ ;']

to Ute idcnril)•mouix ?>. :C..mrohange th e rlrSLund seco nd o w ~

h. J1,luh\11l)' Ue Hel Qnd row hy .)

" ' Ad4 ·5 ) tirn1:11 tlu' li oKt fQ \1 tn tba·sccona

d . A dd 5 lintel llte second row to lh " fio'SL

ft It 0] [t II U

Let ~ ~ t q ond B ~ : t ~ j 'l'b cnP 1 I l I t

:t. A ; . ruw oq uivolcu l to B onl y wlum tL2 , f l 3 .u t dy ~ 4

b. A is row c


4/10

w w w .

e x a m

r a c e . c o

m3 1

33.

~~ Both A lllld R are true ~ n dR j, thecnrrect e:-.1>lanationof A

b. l:loth A ond R are true but. R f• not •con'ect .:xplanoti on of A

c A i . ~true hut R ;., ral•ecl, A is f al ~ ebut R is tru el f ·R" denotes U1e system o f ~ ~ ~ realn u m b~ ·z deno tes the sys tem of alllnto•cn and ·Q · dcno t tl1c sv . tcm o f ill•r a ~j on o l mtm ( .:1'11. then lh" system thotsuLio .• c t ~ill rcl:.t iflnto 1. if

•. u 'b. 1 ~ .1: ~ X < -2 a

d. x


5/10

w w w .

e x a m

r a c e . c o

m41.

42.

43 .

# .

45.

~ three 3re positiv e

b. hn''"'"' e g n t i •· ~c. lwo rorocomplexd. l.btc:c ilfO r o o ~some: p m i tiv ~ : . 3o m;,

negative·p· is • l"'lynomia l s uch tl10t P'(0) -1=P"(O) while ?'"( 0)=2 .If P · ofllte third 0 i ~:L x:- y - >= 0lt . :;:- y - a = Uc. x - y + a = Ud. x - r - o=O·n,e angonL< to the h y p e r l tl l ~ y = • - 31··-points at whic.h it c ubthcco' inlliDDtc :t.'td. 1ntoinl tlf inflexiond. noM of h~ nbovc

~ .

-IS,

49 .

50.

51

52.

S 111 IIJWlticlt one of lite following Li n e ~i• a lineQfS}1Ul l1Cit)l O(' tho Cllf'VO Xl -y 1 =3 ( ~ > y+y ~ )

a x = Ob. y= Oe. y = xd . y = xUs ing the definit ion of iniegr• tjo n " ' Ap11>L'&.


6/10

w w w .

e x a m

r a c e . c o

m

line s = I. Titc volume of the l"e' Uitin&$Oiid i<

a. t 6 ~IS

b. 151i"c. ~

j

d.5 ,<

16

53. n •• are• of u• region in the firs t quadunthounded by the y·a:'


7/10

w w w .

e x a m

r a c e . c o

m

RtQSOn (R): TI1c p nod the c dillcn minnntnre equol nnd.given by :(, + y=0l11e coffe':t •mswer isn. Both A ontin

dr•· r dO = tnn 20

b.d J

= l•n UJrdr

c. r - - ro• Wd )

d. dO = cus 20clr

67. II' l {= A OO>(mt - iA) lhon the ditTertnlialcqUAlian ••tiSI)

t/.y 1a. - - 1- x

t

c x ,I> - - - - 1, ~drd JI

c. - .- - m J ~rlt

dd r ,

. - = - ·"t

b8. ' f he sotulion of the diJferetllial e


8/10

w w w .

e x a m

r a c e . c o

m0.

b, v = c , . ; ~ - c""- . . . J•. • 2~ y; c ,e'•c:e1)1• c4 '

d. y - C ot i •C ' $ ; : < Jc · ~ •2

rhap 3 M i c u . l ~ r

inte11raJ of th e dilleren lialc l u ; ~ t i o n(D( ~ -e-' ~· • .D ' ~ c•

olr

A ~ t e' +e- «1

III, l x c"- c.._)

I • -•c. - l4

X t by • CZ - d I)

a 'x ~ b ~· ' ez• d."' n {'' " a' )b. o.x I by •cz 1 d ()

l l ~+ b')I•CZ t d = 1 (l> = ) )c. ax + by+ cz t d = ()

:tl\ + by -e ?,- d = 0 (e x c' )d. ax .,. by - C7 - d = 0

a X - - h)' - C7 - d I) (d ~ d')The equotion of n s lnligh lin o pornllo l lolhe x,o x is is given by

r a v b ;. -a. ~ ; = - -

b A rt v l l _ = ~- o =- - -. r u 11-h : tc, •- o · - o ; -1 -

d .. " . J = ~, Q

\Vhich nn¢ of lhc fllllowing •~ the ~ e ~lcondition lor lite p l n o ~a. ( - by ~ ez + d =0 to int er"'"' t Ute x und y ulCe< ' co1_udl•ngl c••. :F bb. a ~ -11

c. 11 ib d . 4: b2

www.examrace.com


9/10

w w w .

e x a m

r a c e . c o

m

SO I f S=O is the < U W ~t i u nof n 8phere and.0 l'" p i o n ~, rheo S+ ), , = () repreJ;ents~ a circ le

h. A •ph.:re cont llnin{l \he circle S= 0"- ellip• oidd. otone o f ~ ' above

8L COnsider t h ~A ~ wr l i o n(A ) nnd R.,.,;on(R)sinm below :Ass('rtlon (A): A homogenemq>lnnotilm of A

b. 13oth A and R •re tme b1rt R is not ucorrect exp lnnotinn of Ac. A is true blil R ~ falsed, A is f ~ le lwt k is true

~ 1 . . ·n,eequation 4x' j - ~ 2 ~ 3)'7 +12 .'< - l ly 6 l ~ = 0 e p ' e n ~n l"()n 0.

? of 1 A bon is being l\1 cd through ~ C4nal l>y aC4ble ht ch malre1l :m :m le of 0 ~ withthe ~h o r c .II' Ute pu ll in the c-ablc i ~20\lkgLh ~ the fo rce: tiplldwiUt ~ i d e ; o

A= 6 i j a ~ , r2.A , r = · - ~ -· La. S cubic lm[lb. I0 cubic un itc. l5 cpbic- unitd . 20 c ubic uni tTwo forco:s of mngoitud o 50kg nod5\l.Ji' kg "'cl C) ll A particl e in the directio nincl ined nl nn nnglc olf 1 ~ 5° ro , ; a ~ huthc:r,l.ltcn the magnit ude: and dir


10/10

w w w .

e x a m

r a c e . c o

m1.

92,

93

95.

a.

c.

· ~,

19'

d. ~

A weight ·w· hang.• by • rlr ing. II i ~tlllshed a ~ id < : :b y ~ hmiZ ''8 'd. tbc p/lrtl c le 11'111 mak e: revolutium if

u--2/gTokiug tho: rnd u> of t b~ < ; ~ r i blo be tiA10* e m and Utu va lue of rf to be 98 l, I .em /sec· the eocape ve otty from thesurface of the e arth isa. 2 w em/so:h 12.9 IO~c m l > l l e

c. 8.1 < 10' cmisecd. 9 .1 ~ 10 cml$•-e

www.examrace.com

mathematics objective questions part 1 (1)

Documents