MTH103 TMA4 Questions and Solutions : Find the parametric equations of a circle with centre (2,-1) and radius 3

Find the parametric equations of a circle with centre (2,-1) and radius 3
a) \[x=2+3\cos\theta, y=-1+3\sin\theta\]
b) \[x=1+2\cos\theta, y=-2+3\sin\theta\]
c) \[x=2+5\cos\theta, y=3\sin\theta\]
d) \[x=-2+5\cos\theta, y=-3+2\sin\theta\]
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