Question

A triangle is formed by the tangents at the point $(2,2)$ on the curves $𝑦^2=2𝑥$ and $𝑥^2+𝑦^2=4𝑥$, and the line $𝑥+𝑦+2=0$. If $𝑟$ is the radius of its circumcircle, then $𝑟^2$ is equal to ____ .

Answer 1

The answer is 10.