9709 P13 - Jun 2023 - Q5 - 7 marks
642
The circle \((x-1)^2+(y+4)^2=40\) meets \(y=x-9\) at \(A,B\).
(a) Find the coordinates of the intersections. [4]
(b) Find the equation of the circle with diameter \(AB\). [3]
