Mathematics 9709 · AS & A Level · Coordinate geometry

Coordinate geometry — practice question

The coordinates of points $A$ and $B$ are $(-1,-2)$ and $(7,4)$, respectively.
(a)[4]

Find the equation of circle $C$ with $AB$ as its diameter.

(b)[4]

Find the equation of tangent $T$ to circle $C$ at point $B$.

(c)[3]

Find the equation of the circle that is the reflection of circle $C$ in line $T$.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: Centre is $(3,1)$

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