JEE Main questions
34495 published questions with worked solutions.
- X g of nitrobenzene on nitration gave 4.2 g of m–dinitrobenzene. X = _________ g. (nearest integer) [Given: molar mass (in g mol^...
- A sample of n-octane (1.14 g) was completely burnt in excess of oxygen in a bomb calorimeter, whose heat capacity is 5 kJ K^ -1 ....
- Among, Sc, Mn, Co and Cu, identify the element with highest enthalpy of atomisation. The spin only magnetic moment value of that...
- The total number of structural isomers possible for the substituted benzene derivatives with the molecular formula C_9H_ 12 is...
- If _ r=1 ^ 9 ( r+3 2^r ). ^9C_r = ( 3 2 )^9 - , , N, then ( + )^2 is equal to
- Let a line passing through the point (4, 1, 0) intersect the line L_1 : x-1 2 = y-2 3 = z-3 4 at the point A(α, β, γ) and the...
- A line passing through the point P( 5, 5) intersects the ellipse x^2 36 + y^2 25 = 1 at A and B such that (PA).(PB) is maximum....
- Let A be a matrix of order 3 × 3 and |A| = 5. If |2 adj (3A adj (2A))| = 2^ .3^ .5^ , , , N, then + + is equal to
- Let f(x) = cases (1+ax)^ 1/x , & x<0 1+b, & x=0 (x+4)^ 1/2 -2 (x+c)^ 1/3 -2 , & x>0 cases be continuous at x = 0. Then e^abc is...
- The sum of all rational terms in the expansion of (2+ 3)^8 is
- The sum 1 + 3 + 11 + 25 + 45 + 71 + ..... upto 20 terms, is equal to
- If the domain of the function f(x) = _e ( 2x-3 5+4x ) + ^ -1 ( 4+3x 2-x ) is [ , ), then ^2 + 4 is equal to
- Let f(x) = x^3 3-x^2 ,dx. If 5f( 2) = -4, then f(1) is equal to
- Let a_1, a_2, a_3, be a G.P of increasing positive numbers. If a_3a_5 = 729 and a_2+a_4 = 111 4 , then 24(a_1+a_2+a_3) is equal to
- Let α and β be the roots of x^2+ 3x-16=0, and γ and δ be the roots of x^2+3x-1=0. If P_n = ^n+ ^n and Q_n = ^n+ ^n, then P_ 25 +...
- If y(x) = vmatrix x & x & x+ x+1 27&28&27 1&1&1 vmatrix , x R, then d^2y dx^2 +y is equal to
- Let a = i+ j+ k, b = 3 i+2 j- k, c = j+ k and d be a unit vector such that a d = b d and c. d = 1. If c is perpendicular to a,...
- Let the product of the focal distances of the point (4, 2 3) on the hyperbola H : x^2 a^2 - y^2 b^2 =1 be 32. Let the length of...
- Consider following statements for refraction of light through prism, when angle of deviation is minimum. A. The refracted ray...
- The radiation pressure exerted by a 450 W light source on a perfectly reflecting surface placed at 2 m away from it, is