Mathematics 9709 · AS & A Level · Coordinate geometry

Coordinate geometry — practice question

The diagram depicts a section of the curve $y = 2 - \frac{18}{2x + 3}$, which meets the $x$-axis at $A$ and the $y$-axis at $B$. The normal drawn to the curve at $A$ meets the $y$-axis at $C$.
(i)[6]

Show that the line $AC$ satisfies $9x + 4y = 27$.

(ii)[2]

Find the distance $BC$.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Recognises $A$ as $(3,0)$

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