Mathematics 9709 · AS & A Level · Coordinate geometry

Coordinate geometry — practice question

The diagram illustrates three points $A(2,14)$, $B(14,6)$ and $C(7,2)$. Point $X$ is located on $AB$, and $CX$ is at right angles to $AB$.
(i)[6]

Use calculations to determine the coordinates of $X$.

(ii)[2]

Determine the ratio $AX : XB$.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Obtains gradient of $AB=-\dfrac23$

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