JEE Advanced questions
3844 published questions with worked solutions.
- If the distance between the plane Ax - 2y + z = d and the plane containing the lines x-1 2 = y-2 3 = z-3 4 and x-2 3 = y-3 4 =...
- Let f be a real-valued differentiable function on R , the set of real numbers, such that f(1) = 1. If the y-intercept of the...
- For any real number x, let [x] = largest integer less than or equal to x. Let f be a real valued function defined on the interval...
- Two parallel chords of a circle of radius 2 are at a distance 3 + 1 apart. If the chords subtend at the centre, angles of...
- Consider a ABC. Suppose BC = 6, CA = 10 and the area of the triangle is 15 3. If ACB > 90^ and r denotes the radius of the...Not in JEE syllabus
- Let k be a positive real number and A = bmatrix 2k - 1 & 2 k & 2 k 2 k & 1 & -2k -2 k & 2k & -1 bmatrix and B = bmatrix 0 & 2k -...
- Let f be a function defined on R , the set of real numbers, such that f'(x) = 2010(x - 2009)(x - 2010)^2(x - 2011)^3(x - 2012)^4...
- Let (x_0, y_0) be the solution of the following equations (2x)^ 2 = (3y)^ 3 , 3^ x = 2^ y . Then x_0 is
- Let a = i + j + k, b = i - j + k and c = i - j - k. A vector v in the plane of a and b, whose projection on c is 1 3 , is given by
- Let and be the roots of x^2 - 6x - 2 = 0, > . If a_n = ^n - ^n, n 1 then the value of a_ 10 - 2a_8 2a_9 is equal to
- The value of _ 2 ^ 3 x x^2 x^2 + ( 6 - x^2) ,dx is
- Let the straight line x = b divide the area enclosed by y = (1 - x)^2, y = 0 and x = 0 into two parts R_1 ,(0 x b) and R_2 ,(b x...
- The vector(s) which is/are coplanar with vectors i + j + 2 k and i + 2 j + k, and perpendicular to the vector i + j + k is/are
- Let the eccentricity of the hyperbola x^2 a^2 - y^2 b^2 = 1 be reciprocal to that of the ellipse x^2 + 4y^2 = 4. If the hyperbola...
- Let M and N be two 3 3 non-singular skew symmetric matrices such that MN = NM. If P^T denotes the transpose of P then...
- Let f: R R be a function such that f(x + y) = f(x) + f(y), , x, y R . If f(x) is differentiable at x = 0 then
- Consider the parabola y^2 = 8x. Let _1 be the area of the triangle formed by the end points of its latus rectum and the point P (...
- Let f( ) = ^ -1 ( 2 ) where - 4 < < 4. Then the value of d d( ) f( ) is
- Let f: [1, ) [2, ) be a differentiable function such that f(1) = 2. If 6 _1^x f(t) ,dt = 3x f(x) - x^3 - 5 for all x 1 then the...
- The positive integral value of n > 3 satisfying the equation 1 n = 1 2 n + 1 3 n isNot in JEE Main syllabus