Mathematics 9709 · AS & A Level · Coordinate geometry

Coordinate geometry — practice question

The circle is given by $(x - 1)^2 + (y + 4)^2 = 40$, and the line $y = x - 9$ cuts it at $A$ and $B$.
(a)[4]

Find the coordinates of the two intersection points.

(b)[3]

Find an equation for the circle whose diameter is $AB$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Insert the line equation into the circle equation” …

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