JEE Advanced questions
3844 published questions with worked solutions.
- Let α, β be the roots of the equation x^2 - px + r = 0 and 2 , 2β be the roots of the equation x^2 - qx + r = 0. Then the value...
- Let f(x) be differentiable on the interval (0, ∞) such that f(1) = 1, and _ t x t^2f(x) - x^2f(t) t - x = 1 for each x > 0. Then...
- One Indian and four American men and their wives are to be seated randomly around a circular table. Then the conditional...
- The tangent to the curve y = e^x drawn at the point (c, e^c) intersects the line joining the points (c - 1, e^ c-1 ) and (c + 1,...
- A hyperbola, having the transverse axis of length 2 sin θ, is confocal with the ellipse 3x^2 + 4y^2 = 12. Then its equation is
- The number of distinct real values of λ, for which the vectors - ^2 i + j + k, i - ^2 j + k and i + j - ^2 k are coplanar, is
- A man walks a distance of 3 units from the origin towards the north-east (N 45° E) direction. From there, he walks a distance of...
- The number of solutions of the pair of equations 2 ^2 - 2 = 0 2 ^2 - 3 = 0 in the interval [0, 2π] isNot in JEE Main syllabus
- Let H_1, H_2, , H_n be mutually exclusive and exhaustive events with P(H_i) > 0, i = 1, 2, …, n. Let E be any other event with 0...
- Tangents are drawn from the point (17, 7) to the circle x^2 + y^2 = 169. STATEMENT-1 : The tangents are mutually perpendicular....
- Let the vectors PQ , QR , RS , ST , TU and UP represent the sides of a regular hexagon. STATEMENT-1 : PQ ( RS + ST ) 0. because...
- Let F(x) be an indefinite integral of ^2x. STATEMENT-1 : The function F(x) satisfies F(x + π) = F(x) for all real x. because...
- In the experiment to determine the speed of sound using a resonance column,
- A student performs an experiment to determine the Young's modulus of a wire, exactly 2 m long, by Searle's method. In a...
- A particle moves in the X-Y plane under the influence of a force such that its linear momentum is p(t) = A [ i (kt) - j (kt) ],...
- Positive and negative point charges of equal magnitude are kept at (0, 0, a 2 ) and (0, 0, -a 2 ), respectively. The work done by...
- Electrons with de-Broglie wavelength λ fall on the target in an X-ray tube. The cut-off wavelength of the emitted X-rays is
- STATEMENT-1 : If there is no external torque on a body about its center of mass, then the velocity of the center of mass remains...
- STATEMENT-1 : A cloth covers a table. Some dishes are kept on it. The cloth can be pulled out without dislodging the dishes from...
- STATEMENT-1 : The total translational kinetic energy of all the molecules of a given mass of an ideal gas is 1.5 times the...