(i)[2]
Calculate the gradient of $AB$ and deduce the value of $m$.
(ii)[4]
Determine the coordinates of $C$.
(iii)[4]
BC is intersected by the perpendicular bisector of $AB$ at $D$. Find the coordinates of $D$.
Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
The diagram presents triangle $ABC$, with $A$ at $(3, -2)$ and $B$ at $(15, 22)$. The gradients of $AB$, $AC$ and $BC$ are $2m$, $-2m$ and $m$ respectively, where $m$ is a positive constant.
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This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Takes the gradient as $\frac{y\text{-step}}{x\text{-step}} = 2$” …
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