
Find the number of integral values of parameter'a'for which three chords of the ellipse x2/2a2 + y2/a2 =1(other than its diameter)passing through the point P(11a, a2/4 )are bisected by the parabola y2=4ax. ...

Write the following function in the simplest form : tan_1âˆš 1x/1+x ...

two fixed pt.s A and B are taken on the axes such that OA=a and OB=b ; two variable point A1 and B1 are taken on the same axes;find the locus of intersection of A1B and B1A: 1. when OA1 + OB1=OA + OB 2. when 1/OA1  1/OB1 = 1 ...

How to understand which variable is a function of which other variable. For eg: In the formula : h = ut  (1/2)g(t^2) the variable h is a function of t How to make similar interpretations in case of other formulas? Can anyon ...

If S(n) = Î£nk=1 4 k /4 k 4 + 1 then find the value of 221s(10)/10 lz show the ful sonn... ...

The value of the determinant *Image* is (a) 15!+16! (b) 2(15!)(16!)(17!) (c) 15!+16!+17! (d) 16!+17! ...

Out of (2n+1) tickets numbered consecutively, three are drawn at random. the chance that the numbers on them are in A.P is (a) n2/4n21 (b) 2n/4n21 (c) 3n/4n21 (d) 4n/4n21 ...

If A = {1,2,3,4....18,19} then the number of functions f : Aâ†’A such that f(x)=y and sum of digits of x is equal to the sum of digits of y is (a) 540 (b) 219 (c) 218 (d) 720 ...

If three positive real numbers a, b, c are in A.P. such that abc = 4, then the minimum possible value of b is (a) 23/2 (b) 22/3 (c)21/3 (d) 25/2 ...

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Number of zeroes at the end of the number Î rr where r varies from 1 to 25, is (a) 50 (b) 49 (c) 49 (d) 100 ...

P is the point (1,2) , a variable line through p cuts the axes in A and B . Q is a point on AB such that PA, PQ ,PB are in H.P. find the locus of Q ...

If two opposite vertices of square are (3,4) and (1,1) then the other two vertices are ? ...

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simplify plz: tan1( (3a2xx3)/a(a23x2) ) ...

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1.(multiple answer possible) If the sum of the coefficients in the expansion of (2x+yz)^n is 128, then the value of r for which the coefficient of x^r in the expansion of (1+x)^n is the greatest is (A) 7 (B)3 (C)4 (D)5 ...

âˆ« cos 5x+ cos 4x/12cos3x ...

integrate 1/1+x^4 ...

Two distinct numbers a and b are chosen randomly from the set {2, 22, 23, 24, ......, 225}. Find the probability that logab is an integer. ...

If the sum of the roots of the equation 2333x2+2111x+1=2222x+2+1 is expressed in the form a/b find a + b, where a/b is in its lowest form. ...

The solution of the equation 2{x^2} + 3x  9 le 0 is given by a) frac{3}{2} le x le 3 b)  3 le x le frac{3}{2} c)  3 le x le 3 d) frac{3}{2} le x le 2 ...

Prove that sin2Î¸=(x+y)2/4xy possible for real values of x and y only when x is equal to y. x not equal to 0. ...

In th adjoining figre, quadrilateral ABCD is circumscribed. If the radius of the incircle is 10cm and AD perpendicular to DC, find value of x *Image* ...

Prove that tan 8Î¸ tan 6Î¸ tan 2Î¸ = tan 8Î¸ tan 6Î¸tan 2Î¸ ...

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