JEE Main questions
34568 published questions with worked solutions.
- Let the slope of the line 45x + 5y + 3 = 0 be 27r_1 + 9r_2 2 for some r₁, r₂ ∈ ℝ. Then _ x 3 ( _3^x 8t^2 3r_2x 2 - r_2x^2 -...
- Let f(x) = _ r x 2r^2[(f(r))^2 - f(x)f(r)] r^2 - x^2 - r^3e^ f(r) r be differentiable in (−∞, 0) ∪ (0, ∞) and f(1) = 1. Then the...
- Let P(α, β) be a point on the parabola y² = 4x. If P also lies on the chord of the parabola x² = 8y whose mid-point is (1, 5/4)....
- Let α, β be the roots of the equation x² – √6x + 3 = 0 such that Im(α) > Im(β). Let a, b be integers not divisible by 3 and n be...
- Let for any three distinct consecutive terms a, b, c of an A.P., the lines ax + by + c = 0 be concurrent at the point P and Q(α,...
- The deflection in moving coil galvanometer falls from 25 divisions to 5 division when a shunt of 24 Ω is applied. The resistance...
- Match List-I with List-II List-I: (a) B d = _0 i_c + _0 _0 d _E dt (b) E d = d _B dt (c) E d A = Q _0 (d) B d A = 0 List-II: (i)...
- At what distance above and below the surface of the earth a body will have same weight. (take radius of earth as R.)
- A biconvex lens of refractive index 1.5 has a focal length of 20 cm in air. Its focal length when immersed in a liquid of...
- Two vessels A and B are of the same size and are at same temperature. A contains 1 g of hydrogen and B contains 1 g of oxygen....
- The explosive in a hydrogen bomb is a mixture of ₁H², ₁H³ and ₃Li⁶ in some condensed form. The chain reaction is given by ₃Li⁶ +...
- A block of mass 100 kg slides over a distance of 10 m on a horizontal surface. If the co-efficient of friction between the...
- The de-Broglie wavelength of an electron is the same as that of a photon. If velocity of electron is 25% of the velocity of...
- The resistance R = V/I where V = (200 ± 5) V and I = (20 ± 0.2) A, the percentage error in the measurement of R is-
- Two charges of 5Q and –2Q are situated at the points (3a, 0) and (–5a, 0) respectively. The electric flux through a sphere of...
- Given below are two statements: Statement I: If a capillary tube is immersed first in cold water and then in hot water, the...
- A convex mirror of radius of curvature 30 cm forms an image that is half the size of the object. The object distance is-
- A capacitor of capacitance 100 μF is charged to a potential of 12 V and connected to a 6.4 mH inductor to produce oscillations....
- The potential energy function (in J) of a particle in a region of space is given as U = (2x² + 3y² + 2z). Here x, y and z are in...
- The electric current through a wire varies with time as I = I₀ + βt, where I₀ = 20 A and β = 3 A/s. The amount of electric charge...