Mathematics 9709 · AS & A Level · Coordinate geometry

Coordinate geometry — practice question

The coordinates of points $A$ and $B$ are $(4, 3)$ and $(8, -5)$ respectively. A circle of radius $10$ goes through $A$ and $B$.

(a)[4]

Demonstrate that the centre of the circle lies on the line $y = \frac{1}{2}x - 4$.

(b)[5]

Determine the two possible equations of the circle.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Calculating the gradient of $AB$ as $-2$.” …