Find the distance of the point $P(-8, 6)$ from the origin.

What is the distance between the points $(a, 0)$ and $(0, a)$?

If the polar coordinates of a point are $\left(2, \frac{\pi}{4}\right)$,then its Cartesian coordinates are

The distance of the point $(b \cos \theta, b \sin \theta)$ from the origin is

The point on the $y$-axis equidistant from the points $(3, 2)$ and $(-1, 3)$ is

If the portion of a straight line intercepted between the coordinate axes is divided by the point $(2,3)$ in the ratio $2:3$,then the product of the intercepts made by this line on the axes is