List of top Questions asked in JEE Main

The number of terms of an $AP$ is even. The sum of the odd terms is $24$ and of the even terms is $30$. The last term exceeds the first by $10\frac{1}{2}$. Then the number of terms in the series is ______.

Two thin convex lenses of focal lengths f1 and f2 are separated by a horizontal distance d (where d < f1, d < f2) and their centers are displaced by a vertical separation Δ as shown in the figure.

Taking the origin of coordinates, O at the center of the first lens, the x and y-coordinates of the focal point of this lens system, for a parallel beam of rays coming from the left, are given by

One mole of an ideal monatomic gas compressed adiabatically from volume 2 V to V . If initially temperature of gas was T then the magnitude of work done in this process is

P, Q, R, S are 4 symmetric points on a horizontal circle of radius of 4 km. What is the displacement when a car moves from P to R along the given circular path.

A massless rod has a point mass attached to one end while the other end is hinged. The rod is released from the position shown. The speed of the mass at the bottom most point is $(R = 14 m, g = 10 m/s^2)$

If $\frac{\tan 3\theta -1}{\tan 3\theta +1}=\sqrt{3}$, then the general value of $\theta$ is: