If $log_{10} (xy) = 2$,then the value of $xy$ is

The equation of a curve is given as $y = x^2 - 3x + 2$. The curve intersects the $x$-axis at

If $\tan \theta = \frac{1}{\sqrt{5}}$ and $\theta$ lies in the first quadrant,the value of $\cos \theta$ is:

If $xy = c^2$ where $c$ is a constant,then $\frac{dy}{dx}$ is equal to

If $y = 1 + x + \frac{x^2}{2!} + \frac{x^3}{3!} + \dots + \frac{x^n}{n!}$,then $\frac{dy}{dx} = $

$A$ particular straight line passes through the origin and a point whose abscissa is double the ordinate of the point. The equation of such a straight line is: