JEE Main questions
34495 published questions with worked solutions.
- If the system of linear equations : x + y + 2z = 6, 2x + 3y + az = a + 1, –x – 3y + bz = 2b, Where a, b R has infinitely many...
- Let a and b be two unit vectors such that the angle between them is 3 . If a +2 b and 3 a - b are perpendicular to each other,...
- Let E: x^2 a^2 + y^2 b^2 =1, a > b and H: x^2 A^2 - y^2 B^2 =1. Let the distance between the foci of E and the foci of H be 2 3....
- If A and B are two events such that P(A B) = 0.1, and P(A|B) and P(B|A) are the roots of the equation 12x^2-7x+1=0, then the...
- The sum of all values of [0, 2 ] satisfying 2 ^2 = 2 and 2 ^2 = 3 isNot in JEE Main syllabus
- Let y = f(x) be the solution of the differential equation dy dx + xy x^2-1 = x^6+4x 1-x^2 , -1 < x < 1 such that f(0) = 0. If 6 _...
- Let A(6, 8), B(10 , -10 ) and C(-10 , 10 ), be the vertices of a triangle. If L(a, 9) and G(h, k) be its orthocenter and centroid...
- If _ r=1 ^ 30 r^2 ( ^ 30 C_r )^2 ^ 30 C_ r-1 = 2^ 29 , then is equal to _______.
- Let A = 1, 2, 3 . The number of relations on A, containing (1, 2) and (2, 3), which are reflexive and transitive but not...
- The maximum percentage error in the measurement of density of a wire is [Given, mass of wire = (0.60 ± 0.003)g radius of wire =...
- Which one of the following is the correct dimensional formula for the capacitance in F ? M, L, T and C stand for unit of mass,...
- An electron projected perpendicular to a uniform magnetic field B moves in a circle. If Bohr's quantization is applicable, then...
- For a diatomic gas, if _1 = ( C_p C_v ) for rigid molecules and _2 = ( C_p C_v ) for another diatomic molecules, but also having...
- A light source of wavelength illuminates a metal surface and electrons are ejected with maximum kinetic energy of 2 eV. If the...
- Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : A...
- The torque due to the force (2 i + j +2 k ) about the origin, acting on a particle whose position vector is ( i + j + k ), would...
- A force F = 2 i +b j + k is applied on a particle and it undergoes a displacement i -2 j - k . What will be the value of b, if...
- Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : In...
- A ball of mass 100 g is projected with velocity 20 m/s at 60° with horizontal. The decrease in kinetic energy of the ball during...
- A transparent film of refractive index, 2.0 is coated on a glass slab of refractive index, 1.45. What is the minimum thickness of...