The curve $C$ has parametric equations $x=\sqrt{3}\cos t$, $y=3\sin t$, for $-\frac{\pi }{2}\le t\le

Question

The curve $C$ has parametric equations $x=\sqrt{3}\cos t$, $y=3\sin t$, for $-\frac{\pi }{2}\le t\le \frac{\pi }{2}.$ Sketch $C$, indicating clearly the exact coordinates of the axial intercepts. [2] Find the exact value of the area of the region bounded by $C$ and the $y$–axis. [5]

Accepted Answer

(i) Sketch; (ii) 3√3π/2 units²

2013 VJC P1 Q10

2013 VJC P1 Q10

Video Solution:

Solution:

Solution locked