Practice questions
88551 published questions with worked solutions.
- Find the length of latus rectum of an ellipse, whose foci are (2, 5) and (2, –3) and the eccentricity of the ellipse is 4 5
- Let the shortest distance between the lines x-3 3 = y- -1 = z-3 1 and x+3 -3 = y+7 2 = z- 4 be 3 30 . Then the positive value of...
- Let A and B be two distinct points on the line L : x-6 3 = y-7 2 = z-7 -2 . Both A and B are at a distance 2 17 from the foot of...
- Let m and n be the number of points at which the function f(x) = x, x^3, x^5, …x^ 21 , x R , is not differentiable and not...
- Let A = z ∈ ℂ : |z − 2 − i| = 3 , B = z ∈ ℂ : Re(z − iz) = 2 and S = A∩B. Then _ z S |z|^2 is equal to _____.
- Let A = bmatrix & 0 & - 0 & 1 & 0 & 0 & bmatrix . If for some θ ∈ (0, π), A^2 = A^T, then the sum of the diagonal elements of the...
- When an object is placed 40 cm away from a spherical mirror an image of magnification 1 2 is produced. To obtain an image with...
- The Boolean expression Y = A B C + A C can be realised with which of the following gate configurations. A. One 3-input AND gate,...Not in JEE Advanced syllabus
- Consider the sound wave travelling in ideal gases of He, CH4 and CO2. All the gases have the same ratio P , where P is the...
- Assertion A : In photoelectric effect, on increasing the intensity of incident light the stopping potential increases. Reason R:...
- In a Young's double slit experiment, the slits are separated by 0.2 mm. If the slits separation is increased to 0.4 mm, the...
- Which of the following are correct expression for torque acting on a body? A. = r L B. = d dt ( r p ) C. = r d p dt D. = I E. = r...
- If L and P represent the angular momentum and linear momentum respectively of a particle of mass 'm' having position vector as r...
- Two small spherical balls of mass 10 g each with charges –2 μC and 2 μC, are attached to two ends of very light rigid rod of...
- Two simple pendulums having lengths ℓ1 and ℓ2 with negligible string mass undergo angular displacements θ1 and θ2, from their...
- Current passing through a wire as function of time is given as I(t) = 0.02t + 0.01 A. The charge that will flow through the wire...
- Assertion A : The kinetic energy needed to project a body of mass m from earth surface to infinity is 1 2 mgR, where R is the...
- A body of mass m is suspended by two strings making angles θ1 and θ2 with the horizontal ceiling with tensions T1 and T2...
- An alternating current is represented by the equation, i = 100 2 (100 t) ampere. The RMS value of current and the frequency of...
- Two liquids A and B have θA and θB as contact angles in a capillary tube. If K = _A _B , K then identify the correct statement: