JEE Main questions
34495 published questions with worked solutions.
- If the set of all a R - 1 , for which the roots of the equation (1 - a)x^2 + 2(a - 3)x + 9 = 0 are positive is (- , - ] [ , ),...
- If y = ( 3 + ^ -1 x 2 ), then (x - y)^2 + 3y^2 is equal to
- Let y = y(x) be the solution of the differential equation dy dx + 2y ^2 x = 2 ^2 x + 3 x ^2 x such that y(0) = 5 4 . Then 12 (y (...
- Let A(4, –2), B(1, 1) and C(9, –3) be the vertices of a triangle ABC. Then the maximum area of the parallelogram AFDE, formed...
- Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Net...
- Energy released when two deuterons (_1H^2) fuse to form a helium nucleus (_2He^4) is (Given: Binding energy per nucleon of _1H^2...
- Two water drops each of radius 'r' coalesce to form a bigger drop. If 'T' is the surface tension, the surface energy released in...
- A bi-convex lens has radius of curvature of both the surfaces same as 1/6 cm. If this lens is required to be replaced by another...
- An electron with mass 'm' with an initial velocity (t = 0) v = v_0 i (v_0 > 0) enters a magnetic field B = B_0 j . If the initial...
- Two identical objects are placed in front of convex mirror and concave mirror having same radii of curvature of 12 cm, at same...
- A sinusoidal wave of wavelength 7.5 cm travels a distance of 1.2 cm along the x-direction in 0.3 sec. The crest P is at x = 0 at...
- Identify the characteristics of an adiabatic process in a monoatomic gas. (A) Internal energy is constant. (B) Work done in the...
- The length of a light string is 1.4 m when the tension on it is 5 N. If the tension increases to 7 N, the length of the string is...
- The internal energy of air in 4 m × 4 m × 3 m sized room at 1 atmospheric pressure will be _____ × 10⁶ J. (Consider air as...
- A ray of light suffers minimum deviation when incident on a prism having angle of the prism equal to 60°. The refractive index of...
- A satellite of mass 1000 kg is launched to revolve around the earth in an orbit at a height of 270 km from the earth's surface....
- Arrange the following in order of magnitude of work done by the system/on the system at constant temperature. (a) |w_ reversible...
- Which among the following molecules is (a) involved in sp^3d hybridization, (b) has different bond lengths and (c) has lone pair...
- Formation of Na_4[Fe(CN)_5NOS], a purple coloured complex formed by addition of sodium nitroprusside in sodium carbonate extract...
- Electronic configuration of four elements A, B, C and D are given below : (A) 1s^2 2s^2 2p^3 (B) 1s^2 2s^2 2p^4 (C) 1s^2 2s^2...