JEE Main questions
34495 published questions with worked solutions.
- If the lines x-2 1 = y-3 1 = z-4 -k and x-1 k = y-4 2 = z-5 1 are coplanar, then k can have -
- Consider : Statement-I : (p q) ( p q) is a fallacy. Statement-II: (p q) ( q p) is a tautology.Not in JEE syllabus
- The sum of first 20 terms of the sequence 0.7, 0.77, 0.777, ...., is -
- If the vectors AB = 3 i + 4 k and AC = 5 i - 2 j + 4 k are the sides of a triangle ABC, then the length of the median through A...
- If x, y, z are in A.P. and ^ -1 x, ^ -1 y and ^ -1 z are also in A.P., then -
- The intercepts on x-axis made by tangents to the curve, y = _0^x |t| ,dt, x R, which are parallel to the line y = 2x, are equal...
- Distance between two parallel planes 2x + y + 2z = 8 and 4x + 2y + 4z + 5 = 0 is -
- The circle passing through (1, –2) and touching the axis of x at (3,0) also passes through the point -
- The equation of the circle passing through the foci of the ellipse x^2 16 + y^2 9 =1, and having centre at (0, 3) is -
- If y = ( ^ -1 x), then dy dx at x = 1 is equal to -
- The expression A 1- A + A 1- A can be written as -
- Given : A circle, 2x^2 + 2y^2 = 5 and a parabola, y^2 = 4 5 x. Statement-I : An equation of a common tangent to these curves is y...
- Statement-I : The value of the integral _ /6 ^ /3 dx 1+ x is equal to 6 . Statement-II : _a^b f(x)dx = _a^b f(a+b-x)dx.
- _ x 0 (1- 2x)(3+ x) x 4x is equal to -
- Which of the following represents the correct order of increasing first ionization enthalpy for Ca, Ba, S, Se and Ar ?
- A gaseous hydrocarbon gives upon combustion 0.72 g. of water and 3.08 g. of CO₂. The empirical formula of the hydrocarbon is -
- The rate of a reaction doubles when its temperature changes from 300 K to 310 K. Activation energy of such a reaction will be :...
- A compound with molecular mass 180 is acylated with CH₃COCl to get a compound with molecular mass 390. The number of amino groups...
- Which one of the following molecules is expected to exhibit diamagnetic behaviour ?
- In which of the following pairs of molecules/ions, both the species are not likely to exist ?