Mathematics 9709 · AS & A Level · Coordinate geometry

Coordinate geometry — practice question

The diagram depicts triangle $ABC$, with $A$ at $(1, 3)$, $B$ at $(5, 11)$, and angle $ABC$ equal to $90^\circ$. Point $X(4, 4)$ lies on $AC$.
(i)[3]

State the equation of $BC$.

(ii)[3]

State the coordinates of $C$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Identifies that the gradient of $AB$ is $2$ and the gradient of $BC$ is $-\frac12$

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