Mathematics questions
18011 published questions with worked solutions.
- 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 -
- If the domain of the function f(x) = ^ -1 ( 2x-5 11-3x ) + ^ -1 (2x^2 - 3x + 1) is the interval [ , ], then + 2 is equal to :
- The number of relations, defined on the set a, b, c, d , which are both reflexive and symmetric, is equal to:
- Let a = - i + 2 j + 2 k , b = 8 i + 7 j - 3 k and c be a vector such that a c = b . If c ( i + j + k ) = 4, then | a + c |^2 is...
- Let a_1, a_2, a_3, be a G.P. of increasing positive terms such that a_2 a_3 a_4 = 64 and a_1 + a_3 + a_5 = 813 7 . Then a_3 + a_5...
- Let c and d be vectors such that | c + d | = 29 and c (2 i + 3 j + 4 k ) = (2 i + 3 j + 4 k ) d . If _1, _2 ( _1 > _2) are the...