The smallest positive root of the equation $\tan x - x = 0$ lies in the interval:

Which of the following sulfates is insoluble in water?

$\lim _{x \rightarrow \infty}\left(\frac{x+5}{x+2}\right)^{x+3}$ equals

$A$ satellite is revolving very close to a planet of density $\rho$. The period of revolution of the satellite is

Let $PQ$ and $RS$ be tangents at the extremities of the diameter $PR$ of a circle of radius $r$. If $PS$ and $RQ$ intersect at a point $X$ on the circumference of the circle,then $2r$ equals

The angle between the curves $y^2=4x+4$ and $y^2=36(9-x)$ is (in $^{\circ}$)