Question

Locus of the point of intersection perpendicular tangents to the circle $x^2+y^2=10$ is?

Answer 1

Locus of points of $X^n$ of $\perp$ tangents is the director circle whose equation is given as $x^2+y^2=2a^2$ where a radius of a given circle.

$\Rightarrow$ for the circle $x^2+y^2=10$,

the director circle is given by $x^2+y^2=20$