JEE Advanced questions
579 published questions with worked solutions.
- A train is moving along a straight line with a constant acceleration 'a'. A boy standing in the train throws a ball forward with...
- A silver sphere of radius 1 cm and work function 4.7 eV is suspended from an insulating thread in free-space. It is under...
- Let P(6, 3) be a point on the hyperbola x^2 a^2 - y^2 b^2 = 1. If the normal at the point P intersects the x-axis at (9, 0), then...
- Let ω ≠ 1 be a cube root of unity and S be the set of all non-singular matrices of the form bmatrix 1 & a & b & 1 & c ^2 & & 1...
- The circle passing through the point (−1, 0) and touching the y-axis at (0, 2) also passes through the point
- If _ x 0 [1 + x (1 + b^2) ]^ 1 x = 2b ^2 , b > 0 and (- , ], then the value of θ is
- Let f : [-1, 2] [0, ) be a continuous function such that f(x) = f(1 - x) for all x [-1, 2]. Let R_1 = _ -1 ^ 2 x f(x) ,dx, and...
- Let (x, y) be any point on the parabola y^2 = 4x. Let P be the point that divides the line segment from (0, 0) to (x, y) in the...
- If f(x) = cases -x - 2 , & x - 2 - x, & - 2 < x 0 x - 1, & 0 < x 1 x, & x > 1, cases then
- Let E and F be two independent events. The probability that exactly one of them occurs is 11 25 and the probability of none of...
- Let L be a normal to the parabola y^2 = 4x. If L passes through the point (9, 6), then L is given by
- The number of distinct real roots of x^4 - 4x^3 + 12x^2 + x - 1 = 0 is
- Let y'(x) + y(x)g'(x) = g(x)g'(x), y(0) = 0, x R , where f'(x) denotes d f(x) dx and g(x) is a given non-constant differentiable...
- Let M be a 3×3 matrix satisfying M bmatrix 0 1 0 bmatrix = bmatrix -1 2 3 bmatrix , M bmatrix 1 -1 0 bmatrix = bmatrix 1 1 -1...
- Let a = - i - k, b = - i + j and c = i + 2 j + 3 k be three given vectors. If r is a vector such that r b = c b and r a = 0, then...
- The straight line 2x − 3y = 1 divides the circular region x^2 + y^2 6 into two parts. If S = (2, 3 4 ), ( 5 2 , 3 4 ), ( 1 4 , -...
- Three very large plates of same area are kept parallel and close to each other. They are considered as ideal black surfaces and...
- In the determination of Young's modulus (Y = 4MLg ld^2 ) by using Searle's method, a wire of length L = 2 m and diameter d = 0.5...
- Young's double slit experiment is carried out by using green, red and blue light, one color at a time. The fringe widths recorded...
- Two large vertical and parallel metal plates having a separation of 1 cm are connected to a DC voltage source of potential...