Mathematics 9709 · AS & A Level · Coordinate geometry

Coordinate geometry — practice question

The curve $y = \frac{10}{2x + 1} - 2$ cuts the $x$-axis at $A$, and the tangent at $A$ meets the $y$-axis at $C$.

(i)[5]

Show that the equation of $AC$ can be written as $5y + 4x = 8$.

(ii)[2]

Find $AC$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Differentiate $y=\frac{10}{2x+1}-2$” …