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 $(3,0)$” …