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Question

# Parametric equation of the circle, x2+y2−2x+4y−11=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+4sinθTo 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+y2−2x+4y−11=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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