JEE Main questions
34495 published questions with worked solutions.
- Five number are in A.P. , whose sum is 25 and product is 2520. If one of these five numbers is - 1 2 , then the greatest number...
- The area of the region, enclosed by the circle x^2+y^2=2 which is not common to the region bounded by the parabola y^2=x and the...
- If the system of linear equations 2x+2ay+az=0, 2x+3by+bz=0, 2x+4cy+cz=0 Where a, b, c R are non-zero and distinct; has a non-zero...
- A vector a = i +2 j + k ( , R) lies in the plane of the vectors, b = i + j and c = i - j +4 k . If a bisects the angle between b...
- _ x 2 3^x+3^ 3-x -12 3^ -x/2 -3^ 1-x is equal to
- Let A(1, 0), B(6, 2) and C ( 3 2 ,6 ) be the vertices of a triangle ABC. If P is a point inside the triangle ABC such that the...
- If the sum of the coefficients of all even powers of x in the product (1+x+x^2+ +x^ 2n )(1-x+x^2-x^3+ +x^ 2n ) is 61, then n is...
- If the variance of the first n natural numbers is 10 and the variance of the first m even natural numbers is 16, then m + n is...
- Let S be the set of points where the function, f(x) = |2– | x – 3||, x R, is not differentiable. Then _ x S f(f(x)) is equal to ….
- Consider a uniform rod of mass M = 4m and length pivoted about its centre. A mass m moving with velocity v making angle = 4 to...
- A particle of mass m is fixed to one end of a light spring having force constant k and unstretched length . The other end is...
- The dimension of stopping potential V_0 in photoelectric effect in units of Planck's constant 'h', speed of light 'c' and...
- The magnifying power of a telescope with tube length 60 cm is 5. What is the focal length of its eye piece ?
- When photon of energy 4.0 eV strikes the surface of a metal A, the ejected photoelectrons have maximum kinetic energy T_A eV and...
- Proton with kinetic energy of 1 MeV moves from south to north. It gets an acceleration of 10^ 12 m/ s ^2 by an applied magnetic...
- Effective capacitance of parallel combination of two capacitors C_1 and C_2 is 10 . When these capacitors are individually...
- The critical angle of a medium for a specific wavelength, if the medium has relative permittivity 3 and relative permeability 4 3...
- In finding the electric field using Gauss law the formula | E |= q_ enc _0|A| is applicable. In the formula _0 is permittivity of...
- A leak proof cylinder of length 1m, made of a metal which has very low coefficient of expansion is floating vertically in water...
- Consider a solid sphere of radius R and mass density (r)= _0 (1- r^2 R^2 ), 0<r R. The minimum density of a liquid in which it...