(i)[6]
Find the coordinates of $B$ and $C$ from the diagram.
(ii)[2]
Determine the distance $AC$, and give your answer in the form $\dfrac{\sqrt{a}}{b}$, where $a$ and $b$ are integers.
(iii)[4]
Determine the area of the shaded region.
Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
The diagram includes a section of the curve $y = (x - 2)^4$ and the point $A(1, 1)$ on that curve. The tangent drawn at $A$ meets the $x$-axis at $B$, while the normal drawn at $A$ meets the $y$-axis at $C$.