Practice questions
88551 published questions with worked solutions.
- Let a,b (a>b) be the roots of the quadratic equation x^2-x-4=0. If P_n= ^n- ^n, n N, then P_ 15 P_ 16 -P_ 14 P_ 16 -P_ 15 ^2+P_...
- The sum of the cubes of all the roots of the equation x^4-3x^3-2x^2+3x+1=0 is
- Let =- ^2 and ^3=1 be two real numbers such that ^ 2009 + ^ 2009 =(- )^ 2009 +(- ^2)^ 2009 and =- [ ( ^3 )^ 869 ^2+ ( ^3 )^ 1337...
- Let f(x) and g(x) be two real polynomials of degree 2 and 1 respectively. If f(g(x))=8x^2-2x and g(f(x))=4x^2+6x+1, then the...
- A bob is whirled in a horizontal plane by means of a string with an initial speed of rpm. The tension in the string is T. If...
- A wire of length 'l' and resistance 100 , is divided into 10 equal parts. The first 5 parts are connected in series while the...
- A logic circuit provides the output Y as per the following truth table : | A | B | Y | |---|---|---| | 0 | 0 | 1 | | 0 | 1 | 0 |...Not in JEE Advanced syllabus
- If c is the velocity of light in free space, the correct statements about photon among the following are : A. The energy of a...
- The mass of a planet is 1 10 th that of the earth and its diameter is half that of the earth. The acceleration due to gravity on...
- In a vernier calipers, (N+1) divisions of vernier scale coincide with N divisions of main scale. If 1 MSD represents 0.1 mm, the...
- At any instant of time t, the displacement of any particle is given by 2t-1 (SI unit) under the influence of force of 5N. The...
- A thin flat circular disc of radius 4.5 cm is placed gently over the surface of water. If surface tension of water is 0.07 Nm^ -1...
- Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A : The potential...
- If x=5 ( t+ 3 ) m represents the motion of a particle executing simple harmonic motion, the amplitude and time period of motion,...
- An unpolarised light beam strikes a glass surface at Brewster's angle. Then
- The quantities which have the same dimensions as those of solid angle are :
- The moment of inertia of a thin rod about an axis passing through its mid point and perpendicular to the rod is 2400 g cm^2. The...
- Match List-I with List-II. List-I: (Material) (A) Diamagnetic (B) Ferromagnetic (C) Paramagnetic (D) Non-magnetic List-II:...Not in JEE Advanced syllabus
- If the monochromatic source in Young's double slit experiment is replaced by white light, then
- Two bodies A and B of same mass undergo completely inelastic one dimensional collision. The body A moves with velocity v_1 while...