JEE Main questions
34495 published questions with worked solutions.
- The number of words, which can be formed using all the letters of the word "DAUGHTER", so that all the vowels never come...
- Let the area of a ΔPQR with vertices P(5, 4), Q(–2, 4) and R(a, b) be 35 square units. If its orthocenter and centroid are O (2,...
- If 2 x 3 4 , then ^ -1 ( 12 13 x + 5 13 x ) is equal to-
- The value of (sin70°)(cot10°cot70° – 1) is
- Marks obtains by all the students of class 12 are presented in a frequency distribution with classes of equal width. Let the...
- If A, B and (adj(A^ -1 ) + adj(B^ -1 )) are non-singular matrices of same order, then the inverse of A(adj(A^ -1 ) + adj(B^ -1...
- If the system of equations (λ – 1)x + (λ – 4)y + λz = 5 λx + (λ – 1)y + (λ –4)z = 7 (λ + 1)x + (λ + 2)y – (λ + 2)z = 9 has...
- One die has two faces marked 1, two faces marked 2, one face marked 3 and one face marked 4. Another die has one face marked 1,...
- The sum of all rational terms in the expansion of (1 + 2^ 1/3 + 3^ 1/2 )^6 is equal to _____
- Let the circle C touch the line x – y + 1 = 0, have the centre on the positive x-axis, and cut off a chord of length 4 13 along...
- If the set of all values of a, for which the equation 5x^3 - 15x - a = 0 has three distinct real roots, is the interval (α, β),...
- Regarding self-inductance : A : The self-inductance of the coil depends on its geometry. B : Self-inductance does not depend on...
- A light hollow cube of side length 10 cm and mass 10g, is floating in water. It is pushed down and released to execute simple...
- A radioactive nucleus n_2 has 3 times the decay constant as compared to the decay constant of another radioactive nucleus n_1. If...
- The position of a particle moving on x-axis is given by x(t) = A t + B ^2 t + Ct^2 + D, where t is time. The dimension of ABC D...
- Match the List-I with List-II List-I: (A) Pressure varies inversely with volume of an ideal gas. (B) Heat absorbed goes partly to...
- Consider a moving coil galvanometer (MCG) : A : The torsional constant in moving coil galvanometer has dimensions [ML²T⁻²] B :...
- A gun fires a lead bullet of temperature 300K into a wooden block. The bullet having melting temperature of 600 K penetrates into...
- What is the lateral shift of a ray refracted through a parallel-sided glass slab of thickness 'h' in terms of the angle of...
- The electric flux is = + where λ and σ are linear and surface charge density, respectively, ( ) represents