The largest value of n, for which 40^n divides 60!, is Q. The largest value of (n), for which (40^n) […]

The sum of all values of α, for which the shortest distance between the lines (x+1)/α = (y−2)/(−1) = (z−4)/(−α)

Let P = [pij] and Q = [qij] be two square matrices of order 3 such that qij = 2^(i+j−1)

Let a1, a2, a3, a4 be an A.P. of four terms such that each term of the A.P. and its

The smallest positive integral value of a, for which all the roots of x^4 − ax^2 + 9 = 0

Let a = 2i − 5j + 5k and b = i − j + 3k. If c is a

Image of parabola x^2 = 4y in the line x − y = 1 Q. Let the image of parabola

Let the length of the latus rectum of an ellipse x^2/a^2 + y^2/b^2 = 1 be 30 Q. Let the

Let the angles made with the positive x-axis by two straight lines drawn from the point P(2,3) Q. Let the

If the domain of the function f(x)=sin inverse of 1 divided by x square minus 2x minus 2 is Q.