(i)[1]
State the $x$-coordinate for point $P$.
(ii)[5]
Using all necessary working, calculate the $x$-coordinate of $R$.
(iii)[6]
Find area of the shaded region $PQR$.
Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
The diagram shows a section of the curve $y = \frac{1}{16}(3x - 1)^2$, which is tangent to the $x$-axis at $P$. The point $Q(3, 4)$ lies on the curve, and the tangent at $Q$ meets the $x$-axis at $R$.