Practice questions
88551 published questions with worked solutions.
- Let a = 3 i + 2 j + 2 k and b = i + 2 j - 2 k be two vectors. If a vector perpendicular to both the vectors a + b and a - b has...
- If B = bmatrix 5 & 2 & 1 0 & 2 & 1 & 3 & -1 bmatrix is the inverse of a 3 × 3 matrix A, then the sum of all values of α for which...
- The equation y = sin x sin(x + 2) − sin^2(x + 1) represents a straight line lying in:
- If the truth value of the statement p → (~q ∨ r) is false (F), then the truth values of the statements p, q, r are respectively:Not in JEE syllabus
- Let a random variable X have a binomial distribution with mean 8 and variance 4. If P(X 2) = k 2^ 16 , then k is equal to:
- Let S_n denote the sum of the first n terms of an A.P. If S_4 = 16 and S_6 = -48, then S_ 10 is equal to:
- Let f: R → R be a continuously differentiable function such that f(2) = 6 and f'(2) = 1 48 . If _6^ f(x) 4t^3dt = (x - 2)g(x),...
- The value of ^ -1 ( 12 13 ) - ^ -1 ( 35 ) is equal to:
- If the volume of parallelopiped formed by the vectors i + j + k, j + k and i + k is minimum, then λ is equal to:
- If three of the six vertices of a regular hexagon are chosen at random, then the probability that the triangle formed with these...
- If the line x-2 3 = y+1 2 = z-1 -1 intersects the plane 2x + 3y − z + 13 = 0 at a point P and the plane 3x + y + 4z = 16 at a...
- An ideal gas is enclosed in a cylinder at pressure of 2 atm and temperature 300 K. The mean time between two successive...
- A galvanometer, whose resistance is 50 ohm, has 25 divisions in it. When a current of 4 10^ -4 A passes through it, its needle...
- Two satellites, A and B, have masses m and 2m respectively. A is in a circular orbit of radius R, and B is in a circular orbit of...
- Let ℓ, r, c and v represent inductance, resistance, capacitance and voltage, respectively. The dimension of rcv in SI units will...
- A simple harmonic motion is represented by: y = 5( 3 t + 3 3 t) cm. The amplitude and time period of the motion are:
- A plano-convex lens (focal length f_2, refractive index _2, radius of curvature R) fits exactly into a plano-concave lens (focal...
- In a Frank-Hertz experiment, an electron of energy 5.6 eV passes through mercury vapour and emerges with an energy 0.7 eV. The...
- A load of mass M kg is suspended from a steel wire of length 2 m and radius 1.0 mm in Searle's apparatus experiment. The increase...
- A parallel plate capacitor with plates of area 1 m^2 each, are at a separation of 0.1 m. If the electric field between the plates...