Practice questions
88551 published questions with worked solutions.
- Let the lines 3x - 4y - = 0, 8x - 11y - 33 = 0, and 2x - 3y + = 0 be concurrent. If the image of the point (1, 2) in the line 2x...
- If the system of equations 2x – y + z = 4 5x + λy + 3z = 12 100x – 47y + μz = 212, has infinitely many solutions, then μ – 2λ is...
- Let f be a differentiable function such that 2(x + 2)^2 f(x) - 3(x + 2)^2 = 10 _0^x (t+2)f(t) , dt, x 0. Then f(2) is equal to...
- Let A be a 3 × 3 matrix such that X^T AX = O for all non-zero 3 × 1 matrices X = pmatrix x pmatrix . If A pmatrix 1 1 1 pmatrix =...
- Let S = p_1, p_2, ...., p_ 10 be the set of first ten prime numbers. Let A = S P, where P is the set of all possible products of...
- What is the relative decrease in focal length of a lens for an increase in optical power by 0.1 D from 2.5 D ? ['D' stands for...
- An air bubble of radius 0.1 cm lies at a depth of 20 cm below the free surface of a liquid of density 1000 kg/m³. If the pressure...
- For an experimental expression y = 32.3 1125 27.4 , where all the digits are significant. Then to report the value of y we should...
- During the transition of electron from state A to state C of a Bohr atom, the wavelength of emitted radiation is 2000 Å and it...
- Consider the following statements : A. The junction area of solar cell is made very narrow compared to a photo diode. B. Solar...Not in JEE Advanced syllabus
- The amount of work done to break a big water drop of radius 'R' into 27 small drops of equal radius is 10 J. The work done...
- An object of mass 'm' is projected from origin in a vertical xy plane at an angle 45° with the x-axis with an initial velocity...
- A uniform solid cylinder of mass 'm' and radius 'r' rolls along an inclined rough plane of inclination 45°. If it starts to roll...
- A thin plano convex lens made of glass of refractive index 1.5 is immersed in a liquid of refractive index 1.2. When the plane...
- A particle is executing simple harmonic motion with time period 2s and amplitude 1 cm. If D and d are the total distance and...
- A satellite is launched into a circular orbit of radius 'R' around the earth. A second satellite is launched into an orbit of...
- An alternating current is given by I = I_A t + I_B t. The r.m.s. current will be : -
- An electron of mass 'm' with an initial velocity v = v_0 i (v_0 > 0) enters an electric field E = -E_0 k . If the initial de...
- A parallel plate capacitor was made with two rectangular plates, each with a length of l = 3 cm and breath of b = 1 cm. The...
- A force F = + x^2 acts on an object in the x-direction. The work done by the force is 5J when the object is displaced by 1 m. If...