9709 P11 - Nov 2025 - Q10 - 7 marks
9634
The circle \(x^2+y^2+4y-21=0\) intersects the line \(2x+y-8=0\) at \(A,B\). The circle has centre \(C\).
(a) Find the coordinates of \(A,B\). [4]
(b) Find the area of triangle \(ABC\). [3]
