Mathematics 9709 · AS & A Level · Coordinate geometry

Coordinate geometry — practice question

The diagram illustrates a parallelogram $ABCD$, in which the equation for $AB$ is $y = 3x$ and the equation for $AD$ is $4y = x + 11$. The diagonals $AC$ and $BD$ intersect at the point $E\left(6\frac{1}{2}, 8\frac{1}{2}\right)$.
(main)[9]

Find, using calculation, the coordinates of $A$, $B$, $C$ and $D$.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Simultaneous equations are solved to obtain $A(1,3)$

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