JEE Advanced questions
829 published questions with worked solutions.
- In a triangle PQR, let PQR=30^ and the sides PQ and QR have lengths 10 3 and 10, respectively. Then, which of the following...
- Let P_1: 2x+y-z=3 and P_2: x+2y+z=2 be two planes. Then, which of the following statement(s) is (are) TRUE?
- For every twice differentiable function f: R [-2,2] with (f(0))^2+(f'(0))^2=85, which of the following statement(s) is (are) TRUE?
- The value of (( _29)^2 )^ 1 _2( _29) ( 7 )^ 1 _47 is _____.
- The number of 5 digit numbers which are divisible by 4, with digits from the set 1,2,3,4,5 and the repetition of digits is...
- Let X be the set consisting of the first 2018 terms of the arithmetic progression 1,6,11, , and Y be the set consisting of the...
- The number of real solutions of the equation ^ -1 ( _ i=1 ^ x^ i+1 -x _ i=1 ^ ( x 2 )^i )= 2 - ^ -1 ( _ i=1 ^ (- x 2 )^i- _ i=1 ^...
- For each positive integer n, let y_n= 1 n ((n+1)(n+2) (n+n) )^ 1 n . For x R , let [x] be the greatest integer less than or equal...
- Let a and b be two unit vectors such that a b =0. For some x,y R , let c =x a +y b +( a b ). If | c |=2 and the vector c is...
- Let a,b,c be three non-zero real numbers such that the equation 3 a x+2b x=c, x [- 2 , 2 ], has two distinct real roots and with...
- A farmer F_1 has a land in the shape of a triangle with vertices at P(0,0), Q(1,1) and R(2,0). From this land, a neighbouring...
- A particle of mass m is initially at rest at the origin. It is subjected to a force and starts moving along the x-axis. Its...
- Consider a thin square plate floating on a viscous liquid in a large tank. The height h of the liquid in the tank is much less...
- In a radioactive decay chain, ^ 232 _ 90 Th nucleus decays to ^ 212 _ 82 Pb nucleus. Let N_ and N_ be the number of and ^-...
- In an experiment to measure the speed of sound by a resonating air column, a tuning fork of frequency 500 Hz is used. The length...
- A solid horizontal surface is covered with a thin layer of oil. A rectangular block of mass m=0.4 kg is at rest on this surface....
- A ball is projected from the ground at an angle of 45° with the horizontal surface. It reaches a maximum height of 120 m and...
- A particle, of mass 10^ -3 ,kg and charge 1.0 C, is initially at rest. At time t=0, the particle comes under the influence of an...
- A moving coil galvanometer has 50 turns and each turn has an area 2 10^ -4 m^2. The magnetic field produced by the magnet inside...
- A steel wire of diameter 0.5 mm and Young's modulus 2 10^ 11 N ,m^ -2 carries a load of mass M. The length of the wire with the...