List of top Questions asked in JEE Main

Which of the following is true regarding coagulation of egg:

Area bounded by y = -2|x| and y = x|x| is:

If S = {2, 4, 8, 16, ..., 512}. If S is broken in 3 equal subsets A, B and C such that A∩B = B∩C = C∩A = φ and A∪B∪C = S then maximum number of ways to break is

If y=\(\frac{2\cos2\theta+\cos\theta}{\cos3\theta+\cos^2\theta+\cos\theta}\), Then value of y''+y'+y is

Consider a equation  P(x)= ax² + bx + c =0. If a,b,c ∈ A, were A = {1, 2, 3, 4, 5, 6} . Then the probability that P(x) has real and distinct roots?

Consider the equation ax² + bx + c = 0 . Find probability if a, b, c ∈ A where A = {1,2,3, ... , 8} that the equation has equal roots.

A=\(\begin{bmatrix}   \alpha & \alpha & \alpha \\   \beta & \alpha & -\beta \\   -\alpha & \alpha & \alpha  \end{bmatrix}\)B is formed by co-factor of A matrix, then find out determinant of AB.

Let image of point(8,5,7) with respect to line \(\frac{x-1}{2}=\frac{y+1}{3}=\frac{z-2}{5}\) is (α,β,γ). Then, α+β+γ is equal to______.

A line L is perpendicular to y = 2x + 10 such that it touches the parabola y² = 4(x – g). Then the distance between point of contact and origin is equal to

\(\left( \frac{3^{\frac{1}{5}}}{x}+\frac{2x}{5^\frac{1}{3}} \right)^{12}\)Find which term is constant.

If |a| = 2, |b| = 3 and a = b × 2, then minimum value of \(|\hat{c} - a|^2\) is:

If radius of earth reduced by one fourth of its present value, then duration of days will be

The organ pipe having same length, one is open while the other is closed. Find ratio of 7th overtone of those organ pipes.

In an electron and a proton are having the same kinetic energy, find the ratio of their linear momentum. (mass of electron = 9.1 x 10^-31 kg, mass of proton = 1.67 × 10^-27 kg)

Two planets of mass m₁ and m₂ are revolving around their orbits r and r₂ respectively. Angular momentum of planets are in ratio of 3 then T₁/T₂ is___
(T₁ and T₂ are periods of revolutions)

Which of the following is incorrect for paramagnetic materials?

Critical angle for a pair of medium is given to be 45°. Find the ratio of the refractive index of rarer to denser medium.

For the given logic circuit, the correct relation between the input (A, B) and the output (Y) is

From a rectangular sheet, the shaded portion is removed. Find the co- ordinates of the center of mass after the portion has been removed.

A ball initially at rest, breaks into two masses m1 and m2 that move with speed 11 and v2 respectively as shown. The ratio of the kinetic energy of the right mass to the left mass is:

A ball of mass 150 gm moving with speed 20m/s is catched in 0.1 sec. find the average force exerted by the hands.

If $K_{sp}$ of ${Ag}_2{CO}_3$ is $8\times {10}^{-12},$ the molar solubility of ${Ag}_2{CO}_3$ in $0.1MAgN{O}_3$ is:

At ${25}^{\circ }C$, the solubility product of $Mg(OH{)}_2$ is $1.0\times {10}^{-11}$. At which $pH$, will $M{g}^{2+}$ ions start precipitating in the form of $Mg(OH{)}_2$ from a solution of $0.001MM{g}^{2+}$ ions ?

A point source of light is placed at focus of convex lens, then what is the shape of wave front after passing through the lens?

A convex lens has a focal length of f = 20 cm, R1 = 15 cm, R2 = 30 cm. The refractive index of the lens is \(\frac{x}{2}\) The value of x is _______ .