Mathematics 9709 · AS & A Level · Coordinate geometry

Coordinate geometry — practice question

The points $(6,1)$ and $(-2,7)$ form the two endpoints of a diameter of a circle.

(a)[3]

Determine the equation of the circle.

(b)[5]

Two tangents to the circle have gradient $-\frac{1}{2}$. Determine the exact $x$-coordinates of the points where these tangents meet the circle.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Centre is $(2,4)$.” …