JEE Main questions
34495 published questions with worked solutions.
- If one end of a focal chord AB of the parabola y^2=8x is at A ( 1 2 ,-2 ), then the equation of the tangent to it at B is -
- Let f and g be differentiable functions on R such that fog is the identity function. If for some a, b R, g'(a) = 5 and g(a) = b,...
- If the distance between the plane, 23x – 10y – 2z + 48 = 0 and the plane containing the lines x+1 2 = y-3 4 = z+1 3 and x+3 2 =...
- If C_r= ^ 25 C_r and C_0+5 C_1+9 C_2+ +(101) C_ 25 =2^ 25 k, then k is equal to ___________.
- The number of terms common to the two A.P.'s 3, 7, 11, ….. 407 and 2, 9, 16, …. 709 is ___________.
- If the curves, x^2-6x+y^2+8=0 and x^2-8y+y^2+16-k=0, (k > 0) touch each other at a point, then the largest value of k is...
- Let a , b and c be three vectors such that | a |= 3 , | b |=5, b c =10 and the angle between b and c is 3 . If a is perpendicular...
- If the screw on a screw-gauge is given six rotations, it moves by 3 mm on the main scale. If there are 50 divisions on the...
- Radiation, with wavelength 6561 Å falls on a metal surface to produce photoelectrons. The electrons are made to enter a uniform...
- Two particals of equal mass m have respective initial velocities u i and u ( i + j 2 ). They collide completely inelastically....
- A body A of mass m is moving in a circular orbit of radius R about a planet. Another body B of mass m 2 collides with A with a...
- A quantity f is given by f= hc^5 G where c is speed of light, G universal gravitational constant of light and h is the Planck's...
- A long, straight wire of radius a carries a current distributed uniformly over its cross-section. The ratio of the magnetic...
- An electric dipole of moment p =(- i -3 j +2 k ) 10^ -29 C.m is at the origin (0, 0, 0). The electric field due to this dipole at...
- A particle moving with kinetic energy E has de Broglie wavelength . If energy E is added to its energy, the wavelength become /2....
- The aperture diameter of a telescope is 5 m. The separation between the moon and the earth is 4 10^5 km. With light of wavelength...
- A vessel of depth 2h is half filled with a liquid of refractive index 2 2 and the upper half with another liquid of refractive...
- Three harmonic waves having equal frequency and same intensity I_0, have phase angles, 0, 4 and - 4 respectively. When they are...
- The electric fields of two plane electromagnetic plane waves in vacuum are given by E _1=E_0 j ( t-kx) and E _2=E_0 k ( t-ky) At...
- The distance x covered by a particle in one dimensional motion varies with time t as x^2 = at^2 + 2bt + c. If the acceleration of...