If $\tan \theta=\frac{1}{\sqrt{5}}$ and $\theta$ lies in the first quadrant, the value of $\cos \theta$ is :
$\sqrt{\frac{5}{6}}$
$-\sqrt{\frac{5}{6}}$
$\frac{1}{\sqrt{6}}$
$-\frac{1}{\sqrt{6}}$
Frequency $f$ of a simple pendulum depends on its length $\ell$ and acceleration $g$ due to gravity according to the following equation $f=\frac{1}{2 \pi} \sqrt{\frac{ g }{\ell}}$. Graph between which of the following quantities is a straight line?
A particular straight line passes through origin and a point whose abscissa is double of ordinate of the point. The equation of such straight line is :
The equation of a curve is given as $y=x^2+2-3 x$. The curve intersects the $x$-axis at