JEE Main questions
34568 published questions with worked solutions.
- If α denotes the number of solutions of |1 − i|ˣ = 2ˣ and = ( |z| (z) ), where z = 4(1 + i)^4 [ 1 - i + i + - i 1 + i ], i = √−1,...
- The total number of words (with or without meaning) that can be formed out of the letters of the word 'DISTRIBUTION' taken four...
- Let the foci and length of the latus rectum of an ellipse x²/a² + y²/b² = 1, a > b be (± 5, 0) and √50, respectively. Then, the...
- Let A = 1, 2, 3, 4 and R = (1, 2), (2, 3), (1, 4) be a relation on A. Let S be the equivalence relation on A such that R ⊂ S and...
- Let Q and R be the feet of perpendiculars from the point P(a, a, a) on the lines x = y, z = 1 and x = −y, z = −1 respectively. If...
- In the expansion of (1 + x)(1 - x^2) (1 + 3x + 3 x^2 + 1 x^3 )^5, x ≠ 0, the sum of the coefficients of x³ and x⁻¹³ is equal to...
- If the integral 525 _0^ /2 2x ^ 11 2 x (1 + ^ 52 x )^ 12 dx is equal to (n√2 − 64), then n is equal to ________.
- Let f : ℝ → ℝ be a function defined by f(x) = 4ˣ/(4ˣ + 2) and M = _ f(a) ^ f(1-a) x ^4(x(1-x))dx, N = _ f(a) ^ f(1-a)...
- Let a⃗ and b⃗ be two vectors such that |a⃗| = 1, |b⃗| = 4, and a⃗·b⃗ = 2. If c⃗ = (2a⃗ × b⃗) − 3b⃗ and the angle between b⃗ and...
- The temperature of an ideal gas in 3-dimensions is 300 K. The corresponding de-Broglie wavelength of the electron approximately...
- A body of mass 'm' dropped from a height 'h' reaches the ground with a speed of 0.8 gh . The value of workdone by the...
- The ranges and heights for two projectiles projected with the same initial velocity at angles 42° and 48° with the horizontal are...
- Due to cold weather a 1 m water pipe of cross–sectional area 1 cm^2 is filled with ice at –10°C. Resistive heating is used to...
- Two resistors R_1=(4 0.8) and R_2=(4 0.4) are connected in parallel. The equivalent resistance of their parallel combination will...
- The half life period of radioactive element x is same as the mean life time of another radioactive element y. Initially they have...
- A capacitor is connected to a 20 V battery through a resistance of 10 . It is found that the potential difference across the...
- Electric field of plane electromagnetic wave propagating through a non-magnetic medium is given by E=20 (2 10^ 10 t-200x)V/m. The...
- The temperature of 3.00 mol of an ideal diatomic gas is increased by 40.0 °C without changing the pressure of the gas. The...
- The width of one of the two slits in a Young's double slit experiment is three times the other slit. If the amplitude of the...
- Two satellites revolve around a planet in coplanar circular orbits in anticlockwise direction. Their period of revolutions are 1...