JEE Advanced questions
3844 published questions with worked solutions.
- d^2x dy^2 equals
- The differential equation dy dx = 1 - y^2 y determines a family of circles with
- If |z| = 1 and z 1 then all the values of z 1 - z^2 lie on
- Let F(x) be an indefinite integral of ^2 x. STATEMENT-1: The function F(x) satisfies F(x + ) = F(x) for all real x. STATEMENT-2:...
- Consider the planes 3x - 6y - 2z = 15 and 2x + y - 2z = 5. STATEMENT-1: The parametric equations of the line of intersection of...
- STATEMENT-1: The curve y = -x^2 2 + x + 1 is symmetric with respect to the line x = 1. STATEMENT-2: A parabola is symmetric about...
- Let H_1, H_2, , H_n be mutually exclusive and exhaustive events with P(H_i) > 0; i = 1, 2, 3, , n. Let E be any other event with...
- Tangents are drawn from the point (17, 7) to the circle x^2 + y^2 = 169. STATEMENT-1: The tangents are mutually perpendicular....
- Let f(x) = 2 + x for all real x. STATEMENT-1: For each real t, there exists a point c in [t, t + ] such that f'(c) = 0....
- Lines L_1 y - x = 0 and L_2 2x + y = 0 intersect the line L_3 : y + 2 = 0 at P and Q respectively. The bisector of the acute...
- Match the integrals in **Column I** with the values in **Column II**. Column I: (A) _ -1 ^ 1 dx 1 + x^2 (B) _ 0 ^ 1 dx 1 - x^2...
- In the following [x] denotes the greatest integer less than or equal to x. Match the functions in **Column I** with the...
- Match the statement in **Column I** with the properties in **Column II**. Column I: (A) Two intersecting circles (B) Two mutually...
- Consider the following linear equations cases ax + by + cz = 0 bx + cy + az = 0 cx + ay + bz = 0 cases Match the...
- Let (x, y) be such that ^ -1 (ax) + ^ -1 (y) + ^ -1 (bxy) = 2 . Match the statements in **Column I** with statements in **Column...
- Let f(x) = x^2 - 6x + 5 x^2 - 5x + 6 . Match the expression/statements in **Column I** with expression/statements in **Column...
- The total number of local maxima and local minima of the function f(x) = cases (2+x)^3, & -3 < x -1 x^ 2/3 , & -1 < x < 2 cases is
- Let g(x) = (x-1)^n ^m (x-1) ; 0 < x < 2, m and n are integers, m 0, n > 0, and let p be the left hand derivative of |x-1| at x =...
- Let g(x) = f(x), where f(x) is twice differentiable positive function on (0, ) such that f(x+1) = x f(x). Then for N = 1, 2, 3,...
- Let the function g : (- , ) (- 2, 2 ) be given by g(u) = 2 ^ -1 (e^u) - 2. Then g is