JEE Advanced questions
579 published questions with worked solutions.
- Let f be a real-valued function defined on the interval (-1, 1) such that e^ -x f(x) = 2 + _0^x t^4 + 1 ,dt, for all x (-1, 1),...
- If the distance of the point P(1, -2, 1) from the plane x + 2y - 2z = , where > 0, is 5, then the foot of the perpendicular from...
- Two adjacent sides of a parallelogram ABCD are given by AB = 2 i + 10 j + 11 k and AD = - i + 2 j + 2 k. The side AD is rotated...
- A signal which can be green or red with probability 4 5 and 1 5 respectively, is received by station A and then transmitted to...
- Two parallel chords of a circle of radius 2 are at a distance 3 + 1 apart. If the chords subtend at the center, angles of k and 2...
- Let f be a function defined on R (the set of all real numbers) such that f'(x) = 2010(x - 2009)(x - 2010)^2(x - 2011)^3(x -...
- Let k be a positive real number and let A = bmatrix 2k-1 & 2 k & 2 k 2 k & 1 & -2k -2 k & 2k & -1 bmatrix and B = bmatrix 0 &...
- A Vernier calipers has 1 mm marks on the main scale. It has 20 equal divisions on the Vernier scale which match with 16 main...
- A hollow pipe of length 0.8 m is closed at one end. At its open end a 0.5 m long uniform string is vibrating in its second...
- A biconvex lens of focal length 15 cm is in front of a plane mirror. The distance between the lens and the mirror is 10 cm. A...
- A tiny spherical oil drop carrying a net charge q is balanced in still air with a vertical uniform electric field of strength 81...
- A diatomic ideal gas is compressed adiabatically to 1 32 of its initial volume. In the initial temperature of the gas is T_i (in...
- Image of an object approaching a convex mirror of radius of curvature 20 m along its optical axis is observed to move from 25 3 m...
- A large glass slab ( = 5/3) of thickness 8 cm is placed over a point source of light on a plane surface. It is seen that light...
- Geometrical shapes of the complexes formed by the reaction of Ni^ 2+ with Cl^- , CN^- and H_2O , respectively, are
- Dissolving 120 g of urea (mol. wt. 60) in 1000 g of water gave a solution of density 1.15 g/mL. The molarity of the solution is
- Among the following compounds, the most acidic is
- Extraction of metal from the ore cassiterite involves
- The correct statement(s) pertaining to the adsorption of a gas on a solid surface is (are)
- The difference in the oxidation numbers of the two types of sulphur atoms in Na_2S_4O_6 is