JEE Advanced questions
1003 published questions with worked solutions.
- Let R ^3 denote the three-dimensional space. Take two points P = (1, 2, 3) and Q = (4, 2, 7). Let dist(X, Y) denote the distance...
- Let a = 3 2 and b = 1 5^ 1/6 6 . If x, y R are such that 3x + 2y = _a(18)^ 5 4 and 2x - y = _b ( 1080 ), then 4x + 5y is equal to...
- Let f(x) = x^4 + ax^3 + bx^2 + c be a polynomial with real coefficients such that f(1) = -9. Suppose that i 3 is a root of the...
- Let S = A = pmatrix 0 & 1 & c 1 & a & d 1 & b & e pmatrix : a, b, c, d, e 0, 1 and |A| -1, 1 , where |A| denotes the determinant...
- A group of 9 students, s_1, s_2, , s_9, is to be divided to form three teams X, Y, and Z of sizes 2, 3, and 4, respectively....
- Let OP = - 1 i + j + k , OQ = i + - 1 j + k and OR = i + j + 1 2 k be three vectors, where , R - 0 and O denotes the origin. If (...
- A dimensionless quantity is constructed in terms of electronic charge e, permittivity of free space _0, Planck's constant h, and...
- An infinitely long wire, located on the z-axis, carries a current I along the +z-direction and produces the magnetic field B ....
- A block of mass 5 kg moves along the x-direction subject to the force F = (-20x + 10) N, with the value of x in metre. At time t...
- A particle of mass m is moving in a circular orbit under the influence of the central force F(r) = -kr, corresponding to the...
- The specific heat capacity of a substance is temperature dependent and is given by the formula C = kT, where k is a constant of...
- A point source S emits unpolarized light uniformly in all directions. At two points A and B, the ratio r = I_A/I_B of the...
- At room temperature, disproportionation of an aqueous solution of *in situ* generated nitrous acid ( HNO _2) gives the species
- Among the following options, select the option in which each complex in **Set-I** shows geometrical isomerism and the two...
- Among the following, the correct statement(s) for electrons in an atom is(are)
- The option(s) in which at least three molecules follow Octet Rule is(are)
- Consider the following reaction, 2 H _2(g) + 2 NO (g) N _2(g) + 2 H _2 O (g) which follows the mechanism given below: 2 NO (g) k_...
- Complete reaction of acetaldehyde with excess formaldehyde, upon heating with conc. NaOH solution, gives **P** and **Q**....
- Among V(CO) _6, Cr(CO) _5, Cu(CO) _3, Mn(CO) _5, Fe(CO) _5, [ Co(CO) _3]^ 3- , [ Cr(CO) _4]^ 4- , and Ir(CO) _3, the total number...
- Among the following complexes, the total number of diamagnetic species is _____. [ Mn(NH _3)_6]^ 3+ , [ MnCl _6]^ 3- , [ FeF _6]^...