If in a $\triangle ABC$,$r_1 < r_2 < r_3$,then:

If $\alpha+\beta+\gamma=2 \theta$,then $\cos \theta+\cos (\theta-\alpha)+\cos (\theta-\beta)+\cos (\theta-\gamma)$ is equal to

The point $(3,2)$ undergoes the following three transformations in the order given:
$(i)$ Reflection about the line $y=x$.
(ii) Translation by the distance $1$ unit in the positive direction of $x$-axis.
(iii) Rotation by an angle $\frac{\pi}{4}$ about the origin in the anti-clockwise direction.
Then,the final position of the point is:

The machine gun fires $240$ bullets per minute. If the mass of each bullet is $10 ~g$ and the velocity of the bullets is $600 ~ms^{-1}$,the power (in $kW$) of the gun is

The curve between charge density and distance near a $P-N$ junction will be:

$\sim (p \vee q)$ is equal to