JEE Advanced questions
3844 published questions with worked solutions.
- Let A and B be two distinct points on the parabola y^2 = 4x. If the axis of the parabola touches a circle of radius r having AB...
- Let ABC be a triangle such that ACB = 6 and let a, b and c denote the lengths of the sides opposite to A, B and C respectively....Not in JEE syllabus
- Let z_1 and z_2 be two distinct complex numbers and let z = (1 - t)z_1 + tz_2 for some real number t with 0 < t < 1. If Arg(w)...
- Let f be a real-valued function defined on the interval (0, ) by f(x) = n , x + _0^x 1 + t ; dt. Then which of the following...
- The number of values of in the interval (- 2 , 2 ) such that n 5 for n = 0, 1, 2 and = 5 as well as 2 = 4 isNot in JEE Main syllabus
- The maximum value of the expression 1 ^2 + 3 + 5 ^2 is
- If a and b are vectors in space given by a = i - 2 j 5 and b = 2 i + j + 3 k 14 , then the value of (2 a + b ) [ ( a b ) ( a - 2...
- The line 2x + y = 1 is tangent to the hyperbola x^2 a^2 - y^2 b^2 = 1. If this line passes through the point of intersection of...
- 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 be the complex number 2 3 + i 2 3 . Then the number of distinct complex numbers z satisfying vmatrix z+1 & & ^2 & z+ ^2 & 1...
- Let S_k, k = 1, 2, , 100, denote the sum of the infinite geometric series whose first term is k-1 k! and the common ratio is 1 k...
- The number of all possible values of , where 0 < < , for which the system of equations (y + z) 3 = (xyz) 3 x 3 = 2 3 y + 2 3 z...Not in JEE Main syllabus
- Let f be a real-valued differentiable function on R (the set of all real numbers) such that f(1) = 1. If the y-intercept of the...
- Incandescent bulbs are designed by keeping in mind that the resistance of their filament increases with the increase in...
- An AC voltage source of variable angular frequency and fixed amplitude V_0 is connected in series with a capacitance C and an...
- A student uses a simple pendulum of exactly 1m length to determine g, the acceleration due to gravity. He uses a stop watch with...
- A point mass of 1 kg collides elastically with a stationary point mass of 5 kg. After their collision, the 1 kg mass reverses its...
- The focal length of a thin biconvex lens is 20cm. When an object is moved from a distance of 25cm in front of it to 50cm, the...
- An -particle and a proton are accelerated from rest by a potential difference of 100V. After this, their de Broglie wavelengths...
- When two identical batteries of internal resistance 1 , each are connected in series across a resistor R, the rate of heat...