JEE Advanced questions
829 published questions with worked solutions.
- The area of the region (x, y) : 0 x 9 4 , 0 y 1, x 3y, x + y 2 is
- Consider three sets E_1 = 1, 2, 3 , F_1 = 1, 3, 4 and G_1 = 2, 3, 4, 5 . Two elements are chosen at random, without replacement,...
- Let _1, _2, , _ 10 be positive valued angles (in radian) such that _1 + _2 + + _ 10 = 2 . Define the complex numbers z_1 = e^ i...
- For any 3 3 matrix M, let |M| denote the determinant of M. Let E = bmatrix 1 & 2 & 3 2 & 3 & 4 8 & 13 & 18 bmatrix , P = bmatrix...
- Let f: R R be defined by f(x) = x^2 - 3x - 6 x^2 + 2x + 4 Then which of the following statements is (are) TRUE ?
- Let E, F and G be three events having probabilities P(E) = 1 8 , P(F) = 1 6 and P(G) = 1 4 , and let P(E F G) = 1 10 . For any...
- For any 3 3 matrix M, let |M| denote the determinant of M. Let I be the 3 3 identity matrix. Let E and F be two 3 3 matrices such...
- For any positive integer n, let S_n : (0, ) R be defined by S_n(x) = _ k=1 ^ n ^ -1 ( 1 + k(k+1)x^2 x ), where for any x R , ^ -1...
- For any complex number w = c + id, let (w) (- , ], where i = -1 . Let and be real numbers such that for all complex numbers z = x...
- For x R , the number of real roots of the equation 3x^2 - 4|x^2 - 1| + x - 1 = 0 is _____.
- In a triangle ABC, let AB = 23 , BC = 3 and CA = 4. Then the value of A + C B is _____.
- Let u , v and w be vectors in three-dimensional space, where u and v are unit vectors which are not perpendicular to each other...
- A source, approaching with speed u towards the open end of a stationary pipe of length L, is emitting a sound of frequency f_s....
- A physical quantity S is defined as S = ( E B )/ _0, where E is electric field, B is magnetic field and _0 is the permeability of...
- A heavy nucleus N, at rest, undergoes fission N P + Q, where P and Q are two lighter nuclei. Let = M_N - M_P - M_Q, where M_P,...
- The distance between two stars of masses 3M_S and 6M_S is 9R. Here R is the mean distance between the centers of the Earth and...
- In a photoemission experiment, the maximum kinetic energies of photoelectrons from metals P, Q and R are E_P, E_Q and E_R,...
- For the following reaction 2 X + Y k P the rate of reaction is d[ P ] dt = k[ X ]. Two moles of **X** are mixed with one mole of...
- Some standard electrode potentials at 298 K are given below: Pb ^ 2+ / Pb -0.13 V Ni ^ 2+ / Ni -0.24 V Cd ^ 2+ / Cd -0.40 V Fe ^...
- The pair(s) of complexes wherein both exhibit tetrahedral geometry is(are) (Note: py = pyridine Given: Atomic numbers of Fe, Co,...