JEE Advanced questions
3844 published questions with worked solutions.
- One or more may match with the same. Column I: (i) In an acute-angled ABC, the minimum value of A + B + C is (ii) _ x 0 0 x^2 + y...
- One or more may match with the same. Column I: (i) If f(x) = x + x and g(x) = x^2 - 1 then g f(x) is invertible in the domain...
- A card from a pack of 52 cards is lost. From the remaining cards of the pack two cards are drawn at random and are found to be...
- Let z_1 = r_1e^ i _1 and z_2 = r_2e^ i _2 , where r_1 > 1, r_2 > 1. STATEMENT-1: |1 - z_1z_2| > |z_1 - z_2|. STATEMENT-2: |z_1 -...
- If the polynomial function f(x) = ax^3 + bx^2 + cx + d has extrema at x = and x = 2 then
- If A = bmatrix a & b b & a bmatrix and A^2 = bmatrix & & bmatrix then
- Let AB be a chord of the parabola y^2 = 4ax. If the pole of AB with respect to the parabola be (2a, 3a) then the length of AB is
- The equation of a diameter of a circle passing through the origin is x + y = 1 and the greatest distance of any point of the...
- The area of the region in the Argand plane in which z can belong, satisfying the inequalities 1 |z - 1| 4 and z + z 2, is
- Let (x) = _0^x ^3 x ,dx. The function (x) is
- Let A = 1, 2, 3, , 50 and B = 2, 4, 6, , 100 . The number of elements (x, y) A B such that x + y = 50 is
- A word has 4 identical letters and some different letters. If the total number of words that can be made with the letters of the...
- ax^2 + bx + c = 0 is an equation whose sum of roots exceeds 2 but the product of roots is less than 2. Then
- If , be the positive roots of a quadratic equation such that | - | = 1 and + = 52 then the quadratic equation is
- If > 0 such that the system of equations cases x + y - 2z = 0, x - 2y + z = 0, x + 3y - z = 0 cases has infinite number of...
- The value of _ r=1 ^ n r^2 ^ n C_ r ^ n C_ r-1 is
- If the centroid of an equilateral triangle ABC in the Argand plane be at z = 1, the vertex C is at z = = -1 - 3 i 2 and A, B, C...
- If f(x) is not differentiable finitely at x = 2 and f(x) + g(x) is differentiable finitely at x = 2 then
- If the equation of a family of curves be y = a (x + b), where a, b are arbitrary constants, and y' = dy dx , y'' = d^2y dx^2 ,...
- A function y = f(x) is invertible only when