2017 IJC Promo Q8
A curve $D$ has parametric equations
$x=1-\cos \theta $, $y=\theta +\sin \theta $, for $0\le \theta \le 2\pi $.
(i)
Sketch the graph of $D$, stating the coordinates of any points of intersection with the axes.
[2]
(ii)
Find $\frac{\text{d}y}{\text{d}x}$ in terms of $\theta$ .
[2]
(iii)
A point $P$ on $D$ has parameter $\theta =\frac{\pi }{2}$ . The tangent to $D$ at $P$ cuts the $y$-axis at point $A$ and the normal to $D$ at $P$ cuts the $x$-axis at point $B$. Find the exact area of triangle $ABP$.
[5]
Suggested Video Solutions
Share with your friends!
WhatsApp
Telegram
Facebook