Mathematics 9709 · AS & A Level · Coordinate geometry

Coordinate geometry — practice question

The circle with equation $x^2 + y^2 - 6x + 10y - 27 = 0$ meets the line $x = -2$ at points $P$ and $Q$.

(main)[8]

Calculate the area of the triangle enclosed by the tangents to the circle at $P$ and $Q$, together with the line $x = -2$.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Identify the centre of the circle as $(3,-5)$.” …