VITEEE 2018 MATHEMATICS QUESTION BANK
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1 VITEEE 8 MTHEMTICS QUESTION BNK, C = {,, 6}, the (B C) Ques. Give the sets {,,},B {, } is {} {,,, } {,,, } {,,,,, 6} Ques. s. d ( si cos ) c ta log( ta 6 Ques. The greatest umer amog 9,, 7 is ) c c cot c ta Ca ot e determied ad are differet comple umers with, the is equal to ½ s. z, the the greatest ad the least value of z are 6, 6 6, 7,, Ques. Give that.m.'s are iserted etwee two sets of umers th m mea etwee these sets of umers is same, the the ratio a : equals a, ad a,, where a, R. Suppose further that m : m m : : m m : m,, are the geometric meas etwee ca, a; a, c; c, ca respectivel where a,, c are i.p., the,, are i.p. H.P. G.P. Noe of the aove 6 = +,, the the values of are,,,,,,,, Ques. The solutio of ep, () is c ep ta ta(c ) P q the roots of the equatio l e i the ratio p : q the q p l l l
2 f :[, ) [, ) is give ) the f equals Ques. I the iomial epasio of ( a ),, the sum of the th ad 6 th a terms is zero. The is equal to ( ) ( ) 6 Page of 7 ( ) Ques. Let S( k)... (k ) k. The which of the followig is true. Priciple of mathematical iductio ca e used to prove the formula S ( k) S( k ) S ( k) S( k ) S() is correct s. 6 ( ) cos cos cos si si si Ques. Sum of the series C... ad S... is equal to!!!!!! ep (i) ep[cos(si ) isi(si )] ep [ep(i)] ep(cos )[ep( i)] s. Ques. The sum of... is loge log e a a, a... a... are i G.P. the the value of the determiat, loge log 6 7 Ques. Three forces P, Q ad R act alog the sides BC, C ad B of a equilateral triagle BC. If their resultat is a force parallel to BC through the cetroid of the triagle BC, the P = Q = R P = Q = R P = Q + R P = Q = R ad =, the Ques. Forces of magitudes ad uits actig i the directios i j k ad i j k respectivel act o a particle which is displaced from the poits (,, ) to (,, ). The work doe the forces is equal to 7 uit uit s. 8 e is uit 8 uit
3 Ques. For a positive iteger, let f ( ) ta ( sec)( sec )( sec )... ( sec ). The f f f f s. (a,, c, d) Ques. I a triagle BC, B ad C ad D divides BC iterall i the ratio :. The s. Ques. I amiguous case if 6 sibd is equal to sicd a, ad are give ad if there are two possile values of third side, are c ad c, the c c ( a si ) c c ( a si ) c c ( a si ) c c ( a si ),,, are roots of the equatio si cos cos si, ta ta ta ta the a Ques. si cos ta, the a a ta Page of 7 a a a a cos si ad oth ad are positive ad itegral, the ad = ( ) (, ) ad (, 7) (, ) ad (, 7) (, 7) ad (, 7) (, 7) ad (, ) Ques. sih ( ) is equal to sih ( ) sih ( ) sih ( ) cos( i ) (cos isi ),the value of tah ta tah ta ta is cot coth ta tah p, p ad p e the perpediculars from the poits ( m,m), ( mm', m m' ) ad ( m ',m') respectivel o the lie si cos si, the cos p, p ad p are i. P. G. P. H. P. Ques. Locus of the poits equidistat from the lies represeted cos si si is
4 sec cosec sec cosec the taget at the poit P o the circle 6 6 meets the straight lie 6 at a poit Q o the - ais, the the legth of PQ is s. Ques. I a right agled triagle the hpoteuse is times the legth of perpedicular draw from the opposite verte o the hpoteuse, the the other two agles are, 6 s., Page of 7, 8 8, Ques. For hperola which of the followig remais costat with chage i '' cos si scissae of vertices scissae of foci Eccetricit Directri Ques. Let u, v, w e such that u =, v =, w =. If the projectio v alog u is equal to that of w alog u ad v, w are perpedicular to each other the u v + w equals 7 s. Ques. a,, c are three o-zero, o-coplaar vectors ad p, q, r are three other vectors such that a r. The [ p q r] equals a. c a. c a. c 6 z Ques. Shortest distace etwee lies ad z is log 7 = m, the log 9 8 is equal to ( m), the = m m m s. Ques. The equatio of straight lie z ; z i the smmetrical form is z z z c c a p, q, a. c a. c
5 Ques. Suppose f ( ) ( ) for. If g () is the fuctio whose graph is the reflectio of the graph of f () with respect to the lie, the g () equals,, ( ) G( ) G() G( ), the lim Ques. Let, f ( ), the at f has,,, local maimum No local maimum local miimum No etremum Ques. si d 8 si cos c si cos c si cos c si cos si, the the value of a a a ( a ) a ( a ) 8 Page of 7 8 cos is equal to a ( a ) Ques. Commo roots of the equatios z z z ad z z are,, Ques. d 98 8 cos si c 8 8, cos. ( ) c cos. ( ) c cos. ( ) c (si cos ) d si( c) a, the the value of a ad c is c / ad a k (a aritrar costat) c / ad a / c / ad a is a aritrar costat I (log d satisfies the relatio I k li, the m m ) m m k e l m k e
6 Ques. The value of the defiite itegral d lies i the iterval [ a, ]. The smallest such iterval is 6, [, ] 7, 7 e a) ( ), { ( )} a) f I g d, ad e a) ))} I I g{ ( d, the the value of a) I Ques. The differetial equatios of all circles passig through origi ad havig their cetres o the -ais is d d d d Ques. itegratig factor of the differetial equatio ( ) ( d d d is d ) /( ) is d d / R ad R are the resultats of two forces P/Q ad Q/P, (P > Q) accordig as the are like or ulike such that R : R = : 7, the P : Q = : : : : s. Ques. od of mass kg is suspeded two strigs 7 cm ad cm log, their other eds eig fasteed to the etremities of a rod of legth cm. If the rod e so held that the od hags immediatel elow its middle poit, the the tesio of the strigs i kg-wt are 7/, / /, 8/ /, 7/ Ques. I the determiat, the ratio of the co-factor to its mior of the elemet is Ques. all projected at a agle. Its rage will e maimum at a agle : : The r = r is positive r is egative s. Page 6 of 7
7 Ques. Give that th term i the epasio of this will e true is give has the maimum umerical value, the rage of value of for which Page 7 of 7
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