Mathematics 9709 · AS & A Level · Coordinate geometry

Coordinate geometry — practice question

The sketch displays the curve $y = \sqrt{1 + 4x}$, which cuts the $x$-axis at $A$ and the $y$-axis at $B$. The normal drawn to the curve at $B$ meets the $x$-axis at $C$.
(i)[5]

Find the equation for $BC$.

(ii)[5]

Find the area of the shaded region.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Differentiates $y=\sqrt{1+4x}$ correctly” …

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