JEE Main questions
34495 published questions with worked solutions.
- For α, β, γ ∈ R , if _ x 0 x^2 x + ( -1)e^ x^2 2x - x = 3, then β + γ – α is equal to :
- Let one focus of the hyperbola H : x^2 a^2 - y^2 b^2 = 1 be at ( 10 , 0) and the corresponding directrix be x = 9 10 . If e and l...
- If a is a non-zero vector such that its projections on the vectors 2 i - j + 2 k, i + 2 j - 2 k and k are equal, then a unit...
- If the area of the region (x, y) : |4-x^2| y x^2, y 4, x 0 is ( 80 2 - ), α, β ∈ N, then α + β is equal to ______.
- Three distinct numbers are selected randomly from the set 1, 2, 3, …, 40 . If the probability, that the selected numbers are in...
- Moment of inertia of a rod of mass 'M' and length 'L' about an axis passing through its center and normal to its length is 'α'....
- The equation for real gas is given by (P+ a V^2 )(V-b) = RT, where P, V, T and R the pressure, volume, temperature and gas...
- The relationship between the magnetic susceptibility (χ) and the magnetic permeability (μ) is given by : (μ₀ is the permeability...Not in JEE Advanced syllabus
- In an adiabatic process, which of the following statements is true?
- Match List-I with List-II. List-I: (A) Coefficient of viscosity (B) Intensity of wave (C) Pressure gradient (D) Compressibility...
- A light wave is propagating with plane wave fronts of the type x + y + z = constant. The angle made by the direction of wave...
- A particle is subjected to two simple harmonic motions as: x_1 = 7 5t cm and x_2 = 2 7 (5t+ 3 ) cm where x is displacement and t...
- A point charge + q is placed at the origin. A second point charge +9q is placed at (d, 0, 0) in Cartesian coordinate system. The...
- A person travelling on a straight line moves with a uniform velocity v₁ for a distance x and with a uniform velocity v₂ for the...
- _A is the specific heat ratio of monoatomic gas A having 3 translational degrees of freedom. _B is the specific heat ratio of...
- A vessel with square cross-section and height of 6 m is vertically partitioned. A small window of 100 cm² with hinged door is...
- If the measured angular separation between the second minimum to the left to the central maximum and the third minimum to the...
- A steel wire of length 2 m and Young's modulus 2.0 × 10¹¹ Nm⁻² is stretched by a force. If Poisson ratio and transverse strain...
- A solution is made by mixing one mole of volatile liquid A with 3 moles of volatile liquid B. The vapour pressure of pure A is...
- The correct order of basic nature in aqueous solution for the bases NH₃, H₂N – NH₂, CH₃CH₂NH₂, (CH₃CH₂)₂NH and (CH₃CH₂)₃N is :