JEE Advanced questions
1003 published questions with worked solutions.
- Based on **VSEPR** model, match the xenon compounds given in **List-I** with the corresponding geometries and the number of lone...
- Considering only the principal values of the inverse trigonometric functions, the value of ( ^ -1 ( 3 5 ) - 2 ^ -1 ( 2 5 ) ) is
- Let S = (x, y) R R : x 0, y 0, y^2 4x, y^2 12 - 2x and 3y + 8 ,x 5 8 . If the area of the region S is 2 , then is equal to
- Let k R . If _ x 0+ ( ( kx) + x + x )^ 2 x = e^6, then the value of k is
- Let S be the set of all ( , ) R R such that _ x (x^2)( _e x)^ ( 1 x^2 ) x^ ( _e(1 + x))^ = 0. Then which of the following is...
- A straight line drawn from the point P(1, 3, 2), parallel to the line x-2 1 = y-4 2 = z-6 1 , intersects the plane L_1: x - y +...
- Let A_1, B_1, C_1 be three points in the xy-plane. Suppose that the lines A_1C_1 and B_1C_1 are tangents to the curve y^2 = 8x at...
- A bag contains N balls out of which 3 balls are white, 6 balls are green, and the remaining balls are blue. Assume that the balls...
- Let the function f: R R be defined by f(x) = x e^ x , (x^ 2023 + 2024x + 2025 ) (x^2 - x + 3 ) + 2 e^ x , (x^ 2023 + 2024x + 2025...
- Let p = 2 i + j + 3 k and q = i - j + k . If for some real numbers , , and , we have 15 i + 10 j + 6 k = (2 p + q ) + ( p - 2 q )...
- A normal with slope 1 6 is drawn from the point (0, - ) to the parabola x^2 = -4ay, where a > 0. Let L be the line passing...
- Let the function f: [1, ) R be defined by f(t) = cases (-1)^ n+1 ,2, & if t = 2n - 1, n N , [4pt] (2n + 1 - t) 2 f(2n - 1) + (t -...
- A particle of mass m is under the influence of the gravitational field of a body of mass M ( m). The particle is moving in a...
- A metal target with atomic number Z = 46 is bombarded with a high energy electron beam. The emission of X-rays from the target is...
- The dimensions of a cone are measured using a scale with a least count of 2 mm. The diameter of the base and the height are both...
- A ball is thrown from the location (x_0, y_0) = (0, 0) of a horizontal playground with an initial speed v_0 at an angle _0 from...
- A spherical soap bubble inside an air chamber at pressure P_0 = 10^5 Pa has a certain radius so that the excess pressure inside...
- According to Bohr's model, the highest kinetic energy is associated with the electron in the
- In a metal deficient oxide sample, M _ X Y _2 O _4 (**M** and **Y** are metals), **M** is present in both +2 and +3 oxidation...
- The species formed on fluorination of phosphorus pentachloride in a polar organic solvent are