Practice questions
88551 published questions with worked solutions.
- Let x_0 be the point of local maxima of f(x)= a ( b c ), where a =x i -2 j +3 k , b =-2 i +x j - k and c =7 i -2 j +x k . Then...
- Two vertical poles AB = 15 m and CD = 10 m are standing apart on a horizontal ground with points A and C on the ground. If P is...Not in JEE syllabus
- Let x^2 a^2 + y^2 b^2 =1 (a > b) be a given ellipse, length of whose latus rectum is 10. If its eccentricity is the maximum value...
- If 1+(1-2^2 1)+(1-4^2 3)+(1-6^2 5)+ +(1-20^2 19)= -220 , then an ordered pair ( , ) is equal to :
- The mean and variance of 8 observations are 10 and 13.5, respectively. If 6 of these observations are 5, 7, 10, 12, 14, 15, then...
- Let f(x)= x (1+x)^2 dx (x ≥ 0). Then f(3) – f(1) is equal to :
- If the equation of a plane P, passing through the intersection of the planes, x + 4y – z + 7 = 0 and 3x + y + 5z = 8 is ax + by +...
- Let (2x^2+3x+4)^ 10 = _ r=0 ^ 20 a_rx^r. Then a_7 a_ 13 is equal to _______.
- Suppose a differentiable function f(x) satisfies the identity f(x + y) = f(x) + f(y) + xy^2 + x^2y. for all real x and y. If _ x...
- If the system of equations x-2y+3z=9 2x+y+z=b x-7y+az=24, has infinitely many solutions, then a – b is equal to __________.
- The probability of a man hitting a target is 1 10 . The least number of shots required, so that the probability of his hitting...
- A quantity x is given by (IF v^2/WL^4) in terms of moment of inertia I, force F, velocity v, work W and Length L. The dimensional...
- A series L-R circuit is connected to a battery of emf V. If the circuit is switched on at t = 0, then the time at which the...
- Find the Binding energy per neucleon for ^ 120 _ 50 Sn. Mass of proton m_p = 1.00783 U, mass of neutron m_n = 1.00867 U and mass...
- A body is moving in a low circular orbit about a planet of mass M and radius R. The radius of the orbit can be taken to be R...
- A paramagnetic sample shows a net magnetization of 6 A/m when it is placed in an external magnetic field of 0.4 T at a...Not in JEE Advanced syllabus
- A particle of charge q and mass m is subjected to an electric field E=E_0(1-ax^2) in the x-direction, where a and E_0 are...
- Consider two uniform discs of the same thickness and different radii R_1=R and R_2= R made of the same material. If the ratio of...
- Two identical cylindrical vessels are kept on the ground and each contain the same liquid of density d. The area of the base of...
- A person pushes a box on a rough horizontal plateform surface. He applies a force of 200 N over a distance of 15 m. Thereafter,...