Question

A circle with centre $(2,3)$ and radius $4$ intersects the line $𝑥+𝑦=3$ at the points $𝑃$ and $𝑄$. If the tangents at $𝑃$ and $𝑄$ intersect at the point $S(α,β)$, then $4α−7β$ is equal to _____ .

Answer 1

The answer is 11.