Mathematics 9709 · AS & A Level · Coordinate geometry

Coordinate geometry — practice question

The point $C$ is located on the perpendicular bisector of the segment joining $A(4, 6)$ and $B(10, 2)$. $C$ is also on the line through $(3, 11)$ that runs parallel to $AB$.
(i)[4]

Determine the equation of the perpendicular bisector of $AB$.

(ii)[3]

Determine the coordinates of $C$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Obtains midpoint $M(7,4)$.

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