JEE Advanced questions
579 published questions with worked solutions.
- Let θ, φ ∈ [0, 2π] be such that 2 (1 - ) = ^2 ( 2 + 2 ) - 1, (2 - ) > 0 and -1 < < - 3 2 . Then φ **cannot** satisfy
- Let S be the area of the region enclosed by y = e^ -x^2 , y = 0, x = 0, and x = 1. Then
- A ship is fitted with three engines E_1, E_2 and E_3. The engines function independently of each other with respective...
- Tangents are drawn to the hyperbola x^2 9 - y^2 4 = 1, parallel to the straight line 2x − y = 1. The points of contact of the...
- If y(x) satisfies the differential equation y' - y x = 2x x and y(0) = 0, then
- Let f : R R be defined as f(x) = |x| + |x^2 - 1|. The total number of points at which f attains either a local maximum or a local...
- The value of 6 + _ 3 2 ( 1 3 2 4 - 1 3 2 4 - 1 3 2 4 - 1 3 2 ) is
- Let p(x) be a real polynomial of least degree which has a local maximum at x = 1 and a local minimum at x = 3. If p(1) = 6 and...
- If a, b and c are unit vectors satisfying | a - b|^2 + | b - c|^2 + | c - a|^2 = 9, then |2 a + 5 b + 5 c| is
- Let S be the focus of the parabola y^2 = 8x and let PQ be the common chord of the circle x^2 + y^2 - 2x - 4y = 0 and the given...
- A thin uniform cylindrical shell, closed at both ends, is partially filled with water. It is floating vertically in water in...
- Two moles of ideal helium gas are in a rubber balloon at 30 °C. The balloon is fully expandable and can be assumed to require no...
- A student is performing the experiment of Resonance Column. The diameter of the column tube is 4 cm. The frequency of the tuning...
- Two solid cylinders P and Q of same mass and same radius start rolling down a fixed inclined plane from the same height at the...
- Two spherical planets P and Q have the same uniform density ρ, masses M_P and M_Q, and surface areas A and 4A, respectively. A...
- NiCl_2 P(C_2H_5)_2(C_6H_5) _2 exhibits temperature dependent magnetic behaviour (paramagnetic / diamagnetic). The coordination...
- In the cyanide extraction process of silver from argentite ore, the oxidizing and reducing agents used are
- The shape of XeO_2F_2 molecule is
- For a dilute solution containing 2.5 g of a non-volatile non-electrolyte solute in 100 g of water, the elevation in boiling point...
- Using the data provided, calculate the multiple bond energy (kJ mol⁻¹) of a C≡C bond in C_2H_2 . That energy is (take the bond...