Mathematics 9709 · AS & A Level · Coordinate geometry

Coordinate geometry — practice question

Points $A\,(7,12)$ and $B$ are on a circle centred at $(-2,5)$. The equation of line $AB$ is $y = -2x + 26$.
(main)[6]

Find the coordinates of point $B$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Use the centre to determine the radius: $r^2=(7+2)^2+(12-5)^2$.

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