Practice questions
88551 published questions with worked solutions.
- At present, a firm is manufacturing 2000 items. It is estimated that the rate of change of production P w.r.t. additional number...
- ABCD is a trapezium such that AB and CD are parallel and BC ⊥ CD. If ∠ADB = θ, BC = p and CD = q, then AB is equal to -Not in JEE syllabus
- All the students of a class performed poorly in Mathematics. The teacher decided to give grace marks of 10 to each of the...
- A ray of light along x + 3 y = 3 gets reflected upon reaching x-axis, the equation of the reflected ray is -
- If f(x)dx = (x), then x^5 f(x^3)dx is equal to -
- Let A and B be two sets containing 2 elements and 4 elements respectively. The number of subsets of A × B having 3 or more...
- If the lines x-2 1 = y-3 1 = z-4 -k and x-1 k = y-4 2 = z-5 1 are coplanar, then k can have -
- Consider : Statement-I : (p q) ( p q) is a fallacy. Statement-II: (p q) ( q p) is a tautology.Not in JEE syllabus
- The sum of first 20 terms of the sequence 0.7, 0.77, 0.777, ...., is -
- If the vectors AB = 3 i + 4 k and AC = 5 i - 2 j + 4 k are the sides of a triangle ABC, then the length of the median through A...
- If x, y, z are in A.P. and ^ -1 x, ^ -1 y and ^ -1 z are also in A.P., then -
- The intercepts on x-axis made by tangents to the curve, y = _0^x |t| ,dt, x R, which are parallel to the line y = 2x, are equal...
- Distance between two parallel planes 2x + y + 2z = 8 and 4x + 2y + 4z + 5 = 0 is -
- The circle passing through (1, –2) and touching the axis of x at (3,0) also passes through the point -
- The equation of the circle passing through the foci of the ellipse x^2 16 + y^2 9 =1, and having centre at (0, 3) is -
- If y = ( ^ -1 x), then dy dx at x = 1 is equal to -
- The expression A 1- A + A 1- A can be written as -
- Given : A circle, 2x^2 + 2y^2 = 5 and a parabola, y^2 = 4 5 x. Statement-I : An equation of a common tangent to these curves is y...
- Statement-I : The value of the integral _ /6 ^ /3 dx 1+ x is equal to 6 . Statement-II : _a^b f(x)dx = _a^b f(a+b-x)dx.
- _ x 0 (1- 2x)(3+ x) x 4x is equal to -