JEE Advanced questions
579 published questions with worked solutions.
- With respect to graphite and diamond, which of the statement(s) given below is (are) correct ?
- The equation of a plane passing through the line of intersection of the planes x + 2y + 3z = 2 and x − y + z = 3 and at a...
- Let PQR be a triangle of area Δ with a = 2, b = 7 2 and c = 5 2 , where a, b and c are the lengths of the sides of the triangle...
- If a and b are vectors such that | a + b| = 29 and a (2 i + 3 j + 4 k) = (2 i + 3 j + 4 k) b, then a possible value of ( a + b)...
- If P is a 3 × 3 matrix such that P^T = 2P + I, where P^T is the transpose of P and I is the 3 × 3 identity matrix, then there...
- Let α(a) and β(a) be the roots of the equation ( [3] 1 + a - 1 )x^2 + ( 1 + a - 1 )x + ( [6] 1 + a - 1 ) = 0 where a > -1. Then _...
- Four fair dice D_1, D_2, D_3 and D_4, each having six faces numbered 1, 2, 3, 4, 5 and 6, are rolled simultaneously. The...
- The value of the integral _ - /2 ^ /2 (x^2 + + x - x ) x ,dx is
- For every integer n, let a_n and b_n be real numbers. Let function f : R R be given by f(x) = cases a_n + x, & for x [2n, 2n + 1]...
- If f(x) = _0^x e^ t^2 (t - 2)(t - 3) ,dt for all x (0, ), then
- If the straight lines x - 1 2 = y + 1 k = z 2 and x + 1 5 = y + 1 2 = z k are coplanar, then the plane(s) containing these two...
- Let X and Y be two events such that P(X ,| ,Y) = 1 2 , P(Y ,| ,X) = 1 3 and P(X Y) = 1 6 . Which of the following is (are)...
- If the adjoint of a 3×3 matrix P is bmatrix 1 & 4 & 4 2 & 1 & 7 1 & 1 & 3 bmatrix , then the possible value(s) of the determinant...
- The diameter of a cylinder is measured using a Vernier callipers with no zero error. It is found that the zero of the Vernier...
- A ray of light travelling in the direction 1 2 ( i + 3 j ) is incident on a plane mirror. After reflection, it travels along the...
- In the Young's double slit experiment using a monochromatic light of wavelength λ, the path difference (in terms of an integer n)...
- A pulse of light of duration 100 ns is absorbed completely by a small object initially at rest. Power of the pulse is 30 mW and...
- A particle of mass m is projected from the ground with an initial speed u_0 at an angle α with the horizontal. At the highest...
- The work done on a particle of mass m by a force, K [ x (x^2 + y^2)^ 3/2 i + y (x^2 + y^2)^ 3/2 j ] (K being a constant of...
- One end of a horizontal thick copper wire of length 2L and radius 2R is welded to an end of another horizontal thin copper wire...