The curve $C$ has parametric equation $x=3-2\cos \,t$, $y=- an \,t$ for $0 [2] A point $Q$ on $C$ h

Question

The curve $C$ has parametric equation $x=3-2\cos \,t$, $y=-	an \,t$ for $0 [2] A point $Q$ on $C$ has parameter $t=\frac{\pi }{6}$. Find the equation of the tangent at $Q$, leaving your answer in exact form. [2] Find the cartesian equation of the locus of the mid-point of $(3-2\cos \,t,\,-	an \,t)$ and $(-3,0)$ as $t$ varies. [3]

Accepted Answer

$y = -\frac{4}{3}x + 4 - \frac{5\sqrt{3}}{3}$

2016 ACJC MYE Q4

2016 ACJC MYE Q4

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