JEE Main questions
34495 published questions with worked solutions.
- Let , R be such that the function f(x) = cases 2 (x^2-2)+2 x, & x<1 ( +3)x+( - ), & x 1 cases be differentiable at all x R . Then...
- The mean and variance of a data of 10 observations are 10 and 2, respectively. If an observation in this data is replaced by ,...
- The number of the real solutions of the equation : x|x+3|+|x-1|-2=0 is
- Let a line L passing through the point P(1,1,1) be perpendicular to the lines x-4 4 = y-1 1 = z-1 1 and x-17 1 = y-71 1 = z 0 ....
- The number of numbers greater than 5000, less than 9000 and divisible by 3, that can be formed using the digits 0,1,2,5,9, if the...
- The number of 3 2 matrices A, which can be formed using the elements of the set -2,-1,0,1,2 such that the sum of all the diagonal...
- Three charges +2q, +3q and -4q are situated at (0,-3a), (2a,0) and (-2a,0) respectively in the xy plane. The resultant dipole...
- A cylindrical block of mass M and area of cross section A is floating in a liquid of density and with its axis vertical. When...
- Density of water at 4^ C and 20^ C are 1000 kg/m ^3 and respectively. The increase in internal energy of 4 kg water when it is...
- Two resistors of 100 each are connected in series with a 9 V battery. A voltmeter of 400 resistance is connected to measure the...
- The exit surface of a prism with refractive index n is coated with a material having refractive index n/2. When this prism is set...
- In a microscope of tube length 10 cm two convex lenses are arranged with focal length of 2 cm and 5 cm. Total magnification...
- A spring of force constant 15 N/m is cut into two pieces. If the ratio of their length is 1:3, then the force constant of smaller...
- Given below are two statements: Statement I: For all elements, greater the mass of the nucleus, greater is the binding energy per...
- A brass wire of length 2 m and radius 1 mm at 27^ C is held taut between two rigid supports. Initially it was cooled to a...
- The electrostatic potential in a charged spherical region of radius r varies as V = ar^3+b, where a and b are constants. The...
- An unpolarised light is incident at an interface of two dielectric media having refractive indices of 2 (incident medium) and 2 3...
- A boy thrown a ball into air at 45º from the horizontal to land it on a roof of a building of height H. If the ball attains...
- There are three co-centric conducting spherical shells A, B and C of radii a, b and c respectively. The potential of the spheres...
- Three masses 200 kg, 300 kg and 400 kg are placed at the vertices of an equilateral triangle with sides 20 m. They are rearranged...