JEE Main questions
34495 published questions with worked solutions.
- The value of _ - /6 ^ /6 ( + 4x^ 11 1 - (|x| + /6) )dx is equal to
- If the coefficient of x in the expansion of (ax^2 + bx + c)(1 - 2x)^ 26 is -56 and the coefficients of x^2 and x^3 are both zero,...
- If x^2 + x + 1 = 0, then the value of (x + 1 x )^4 + (x^2 + 1 x^2 )^4 + (x^3 + 1 x^3 )^4 + + (x^ 25 + 1 x^ 25 )^4 is :
- The value of 10° - 3 10° is equal to:
- The sum of all the roots of the equation (x-1)^2 - 5|x-1| + 6 = 0, is:
- Let a_1 = 1 and for n 1, a_ n+1 = 1 2 a_n + n^2 - 2n - 1 n^2(n+1)^2 . Then | _ n=1 ^ (a_n - 2 n^2 ) | is equal to
- For some , R, let A = bmatrix & 2 1 & 2 bmatrix and B = bmatrix 1 & 1 1 & bmatrix be such that A^2 - 4A + 2I = B^2 - 3B + I = O....
- 6 _0^ |( 3x + 2x + x)| ,dx is equal to _____
- A gas based geyser heats water flowing at the rate of 5.0 litres per minute from 27°C to 87°C. The rate of consumption of the gas...
- A conducting circular loop of area 1.0 m^2 is placed perpendicular to a magnetic field which varies as B = (100t) Tesla. If the...
- In an experiment the values of two spring constants were measured as k_1 = (10 0.2) N/m and k_2 = (20 0.3) N/m. If these springs...
- Consider a modified Bernoulli equation. (P + A Bt^2 ) + g(h + Bt) + 1 2 V^2 = constant If t has the dimension of time then the...
- The electric field a plane electromagnetic wave is given by : E_y = 69 [0.6 10^3 x - 1.8 10^ 11 t] V/m. The expression for...
- In a double slit experiment the distance between the slits is 0.1 cm and the screen is placed at 50 cm from the slits plane. When...
- If an alpha particle with energy 7.7 MeV is bombarded on a thin gold foil, the closest distance from nucleus it can reach is...
- An aluminium and steel rods having same lengths and cross-sections are joined to make total length of 120 cm at 30°C. The...
- Two strings (A, B) having linear densities _A = 2 10^ -4 kg/m and _B = 4 10^ -4 kg/m and lengths L_A = 2.5 m and L_B = 1.5 m...
- Initially a satellite of 100 kg is in a circular orbit of radius 1.5R_E. This satellite can be moved to a circular orbit of...
- A point charge of 10^ -8 C is placed at origin. The work done in moving a point charge 2 C from point A(4,4,2) m to B(2,2,1) m is...
- 10 mole of oxygen is heated at constant volume from 30°C to 40°C. The change in the internal energy of the gas is _____ cal. (The...