JEE Main questions
34495 published questions with worked solutions.
- The decreasing order of bond angles in BF_3, NH_3, PF_3, and I_3^- is :
- Xenon hexafluoride on partial hydrolysis produces compounds 'X' and 'Y'. Compounds 'X' and 'Y' and the oxidation state of Xe are...
- A white sodium salt dissolves readily in water to give a solution which is neutral to litmus. When silver nitrate solution is...
- In a triangle ABC, coordinates of A are (1, 2) and the equations of the medians through B and C are x + y = 5 and x = 4...
- If b is the first term of an infinite G.P. whose sum is five, then b lies in the interval
- A variable plane passes through a fixed point (3, 2, 1) and meets x, y and z axes at A, B and C respectively. A plane is drawn...
- If f ( x - 4 x + 2 ) = 2x + 1, (x R - 1, -2 ), then f(x) ,dx is equal to (where C is a constant of integration)
- If R is such that the sum of the cubes of the roots of the equation, x^2 + (2 - )x + (10 - ) = 0 is minimum, then the magnitude...
- Consider the following two binary relations on the set A = a, b, c : R_1 = (c, a), (b, b), (a, c), (c, c), (b, c), (a, a) and R_2...
- If x^2 + y^2 + y = 4, then the value of d^2y dx^2 at the point (–2, 0) is
- A circle passes through the points (2, 3) and (4, 5). If its centre lies on the line, y - 4x + 3 = 0, then its radius is equal to
- If the tangent drawn to the hyperbola 4y^2 = x^2 + 1 intersect the co-ordinate axes at the distinct points A and B, then the...
- Let A be a matrix such that A bmatrix 1 & 2 0 & 3 bmatrix is a scalar matrix and |3A| = 108. Then A^2 equals
- If f(x) = vmatrix x & x & 1 2 x & x^2 & 2x x & x & 1 vmatrix , then _ x 0 f'(x) x
- If x_1, x_2, , x_n and 1 h_1 , 1 h_2 , , 1 h_n are two A.P's such that x_3 = h_2 = 8 and x_8 = h_7 = 20, then x_5 h_ 10 equals
- The mean of a set of 30 observations is 75. If each other observation is multiplied by a non-zero number and then each of them is...
- If n is the degree of the polynomial, [ 1 5x^3 + 1 - 5x^3 - 1 ]^8 + [ 1 5x^3 + 1 + 5x^3 - 1 ]^8 and m is the coefficient of x^n...
- Let S be the set of all real values of k for which the system of linear equations x + y + z = 2 2x + y - z = 3 3x + 2y + kz = 4...
- The value of the integral _ - /2 ^ /2 ^4 x (1 + ( 2 + x 2 - x ) )dx is
- An angle between the plane x + y + z = 5 and the line of intersection of the planes, 3x + 4y + z - 1 = 0 and 5x + 8y + 2z + 14 =...