JEE Advanced questions
1027 published questions with worked solutions.
- Let , and be real numbers. Consider the following system of linear equations x + 2y + z = 7 x + z = 11 2x - 3y + z = Match each...
- Consider the given data with frequency distribution x_i: 3, 8, 11, 10, 5, 4 f_i: 5, 2, 3, 2, 4, 4 Match each entry in List-I to...
- Let _1 and _2 be the lines r _1 = ( i + j + k ) and r _2 = ( j - k ) + ( i + k ), respectively. Let X be the set of all the...
- Let z be a complex number satisfying |z|^3 + 2z^2 + 4 z - 8 = 0, where z denotes the complex conjugate of z. Let the imaginary...
- A bar of mass M = 1.00 kg and length L = 0.20 m is lying on a horizontal frictionless surface. One end of the bar is pivoted at a...
- One mole of an ideal gas expands adiabatically from an initial state (T_A, V_0) to final state (T_f, 5V_0). Another mole of the...
- Two satellites P and Q are moving in different circular orbits around the Earth (radius R). The heights of P and Q from the Earth...
- A Hydrogen-like atom has atomic number Z. Photons emitted in the electronic transitions from level n = 4 to level n = 3 in these...
- In an experiment for determination of the focal length of a thin convex lens, the distance of the object from the lens is 10 0.1...
- A closed container contains a homogeneous mixture of two moles of an ideal monatomic gas ( = 5/3) and one mole of an ideal...
- A person of height 1.6 m is walking away from a lamp post of height 4 m along a straight path on the flat ground. The lamp post...
- Match the temperature of a black body given in List-I with an appropriate statement in List-II, and choose the correct option....
- A series LCR circuit is connected to a 45 ( t) Volt source. The resonant angular frequency of the circuit is 10^5 rad s^ -1 and...
- The correct statement(s) related to processes involved in the extraction of metals is(are)
- On decreasing the pH from 7 to 2, the solubility of a sparingly soluble salt (MX) of a weak acid (HX) increased from 10^ -4 mol...
- The stoichiometric reaction of 516 g of dimethyldichlorosilane with water results in a tetrameric cyclic product **X** in 75%...
- A gas has a compressibility factor of 0.5 and a molar volume of 0.4 dm^3 mol^ -1 at a temperature of 800 K and pressure **x**...
- Consider an experiment of tossing a coin repeatedly until the outcomes of two consecutive tosses are same. If the probability of...
- For any y R , let ^ -1 (y) (0, ) and ^ -1 (y) (- 2 , 2 ). Then the sum of all the solutions of the equation ^ -1 ( 6y 9 - y^2 ) +...
- Let the position vectors of the points P, Q, R and S be a = i + 2 j - 5 k , b = 3 i + 6 j + 3 k , c = 17 5 i + 16 5 j + 7 k and d...