Mathematics 9709 · AS & A Level · Coordinate geometry

Coordinate geometry — practice question

A circle centred at $(5, 2)$ passes through $(7, 5)$.
(a)[2]

Determine an equation for the circle.

(b)[7]

The line $y = 5x - 10$ cuts the circle at $A$ and $B$. Find the exact length of chord $AB$.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Calculate the radius using the distance formula” …

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