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Question

Parametric equation of the circle, x2+y22x+4y11=0 is x= and y= .

A
2+4cosθ
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B
4+4cosθ
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C
1+4cosθ
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D
2+4sinθ
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Solution

The correct options are
C 1+4cosθ
D 2+4sinθ

To write the parametric equation of circle, we have to know the centre and radius of the circle. If the centre is (h,k) and radius is r, the parametric equation of the circle is given by x=h+rcosθ and y=k+rsinθ.
The centre of x2+y22x+4y11=0 is (1,2) and radius is 12+(2)2(1)=4

Parametric equation is x=1+4cosθ and y=2+4sinθ


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