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Question

The parametric form of the circle x2+y24(x+y)=8 is

A
x=2+4cosθ, y=2+4sinθ
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B
x=22cosθ, y=22sinθ
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C
x=2+2cosθ, y=2+2sinθ
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D
x=24cosθ, y=24sinθ
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Solution

The correct option is A x=2+4cosθ, y=2+4sinθ
Given equation x2+y24(x+y)=8
(x2)2+(y2)2=(4)2
As we know parametric form for the circle
(xh)2+(yk)2=r2 is
x=h+rcosθ,y=k+rsinθ
So, the required parametric form will be
x=2+4cosθ,y=2+4sinθ

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