Mathematics 9709 · AS & A Level · Coordinate geometry

Coordinate geometry — practice question

Three points are given by the coordinates $A(0, 7)$, $B(8, 3)$ and $C(3k, k)$. Find the value of the constant $k$ for which

(a)[4]

$C$ is on the line passing through $A$ and $B$.

(b)[4]

Point $C$ is on the perpendicular bisector of $AB$.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Gradient of $AB$ correctly equal to $-\frac12$” …