JEE Main questions
34495 published questions with worked solutions.
- Let f : (0, ) R be a twice differentiable function. If for some a 0, _0^1 f( x)d = af(x), f(1) = 1 and f(16) = 1 8 , then 16 - f'...
- Let S = m Z : A^ m^2 + A^m = 3I - A^ -6 , where A = bmatrix 2 & -1 1 & 0 bmatrix . Then n(S) is equal to …………….. .
- The number of 6-letter words, with or without meaning, that can be formed using the letters of the word 'MATHS' such that any...
- Let S = x : ^ -1 x = + ^ -1 x + ^ -1 (2x + 1) . Then _ x S (2x-1)^2 is equal to ………….. .
- Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Choke...
- Two projectiles are fired with same initial speed from same point on ground at angles of (45° – α) and (45° + α), respectively,...
- An electric dipole of mass m, charge q, and length l is placed in a uniform electric field E = E_0 i . When the dipole is rotated...
- The pair of physical quantities not having same dimensions is :
- Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Time...
- The expression given below shows the variation of velocity (ν) with time (t), = At^2 + Bt C+t . The dimension of ABC is :
- Consider I_1 and I_2 are the currents flowing simultaneously in two nearby coils 1 & 2, respectively. If L_1 = self inductance of...
- Consider a long straight wire of a circular cross-section (radius a) carrying a steady current I. The current is uniformly...
- Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) :...
- A coil of area A and N turns is rotating with angular velocity ω in a uniform magnetic field B about an axis perpendicular to B ....
- The workdone in an adiabatic change in an ideal gas depends upon only :
- Given below are two statements : one is labelled as Assertion (A) and other is labelled as Reason (R). Assertion (A) :...
- The coordinates of a particle with respect to origin in a given reference frame is (1, 1, 1) meters. If a force of F = i - j + k...
- The maximum speed of a boat in still water is 27 km/h. Now this boat is moving downstream in a river flowing at 9 km/h. A man in...
- Total number of nucleophiles from the following is :- NH_3, PhSH, (H_3C)_2S, H_2C=CH_2, HO^-, H_3O^+, (CH_3)_2CO, >=NCH3
- The standard reduction potential values of some of the p-block ions are given below. Predict the one with the strongest oxidising...