(a)[2]
Find the equation satisfied by $BC$.
(b)[5]
Hence determine the coordinates of $P$, giving your answer exactly.
Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
The diagram illustrates the circle whose equation is $(x - 2)^2 + (y + 4)^2 = 20$, with centre $C$. Point $B$ is at $(0, 2)$, and the line segment $BC$ cuts the circle at $P$.