JEE Advanced questions
579 published questions with worked solutions.
- Match each coordination compound in List-I with an appropriate pair of characteristics from List-II and select the correct answer...
- The following integral _ 4 ^ 2 (2 , cosec ,x)^ 17 ,dx is equal to
- The common tangents to the circle x^2 + y^2 = 2 and the parabola y^2 = 8x touch the circle at the points P, Q and the parabola at...
- Six cards and six envelopes are numbered 1, 2, 3, 4, 5, 6 and cards are to be placed in envelopes so that each envelope contains...
- Three boys and two girls stand in a queue. The probability, that the number of boys ahead of every girl is at least one more than...
- Let z_k = ( 2k 10 ) + i ( 2k 10 ); k = 1, 2, …, 9. List I P. For each z_k there exists a z_j such that z_k z_j = 1 Q. There...
- List I P. The number of polynomials f(x) with non-negative integer coefficients of degree ≤ 2, satisfying f(0) = 0 and _0^1f(x)...
- List I P. Let y(x) = (3 ^ -1 x), x ∈ [−1, 1], x 3 2 . Then 1 y(x) (x^2 - 1) d^2y(x) dx^2 + x dy(x) dx equals Q. Let A_1, A_2, ,...
- Let f_1 : R R , f_2 : [0, ) R , f_3 : R R and f_4 : R [0, ) be defined by f_1(x) = cases |x| & if x < 0, e^x & if x 0; cases...
- A bullet is fired vertically upwards with velocity v from the surface of a spherical planet. When it reaches its maximum height,...
- Two spherical stars A and B emit blackbody radiation. The radius of A is 400 times that of B and A emits 10^4 times the power...
- A nuclear power plant supplying electrical power to a village uses a radioactive material of half life T years as the fuel. The...
- Consider a Vernier callipers in which each 1 cm on the main scale is divided into 8 equal divisions and a screw gauge with 100...
- Planck's constant h, speed of light c and gravitational constant G are used to form a unit of length L and a unit of mass M. Then...
- A container of fixed volume has a mixture of one mole of hydrogen and one mole of helium in equilibrium at temperature T....
- The total number of lone pairs of electrons in N_2O_3 is
- For the octahedral complexes of Fe^ 3+ in SCN^- (thiocyanato-S) and in CN^- ligand environments, the difference between the...
- Among the triatomic molecules/ions, BeCl_2 , N_3^- , N_2O , NO_2^+ , O_3 , SCl_2 , ICl_2^- , I_3^- and XeF_2 , the total number...
- Not considering the electronic spin, the degeneracy of the second excited state (n=3) of H atom is 9, while the degeneracy of the...
- All the energy released from the reaction X Y , _rG^0=-193 kJ mol ^ -1 is used for oxidizing M^+ as M^+ M^ 3+ +2e^-, E^0=-0.25...