I'm trying to solve this problem but can't understand what is meant by this "polar"
The question is as follows.,
"If the polar of any point with respect to the parabola $y^2=4ax$ touches the circle $y^2+x^2=4a^2$, show that the locus of the point is the curve $x^2-y^2=4a^2$
Thank you.
The term "polar" is standard in the study of conic sections, so it is probably defined in your class notes or textbook. Anyway, the polar of a point $P$ with respect to a conic $C$ is the line that passes through the two points where tangents from $P$ meet $C$.
There is a (pretty poor) description here.
I'll look for a better one.
This page is better, though it only deals with pole/polar of a circle.