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Question

Find the radius of the circle whose equation is x2 + y2 2x 4y 4 = 0.

A
2
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B
3
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C
4
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D
5
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Solution

The correct option is B 3
Given,
Equation of the circle = x2 + y2 2x 4y 4 = 0
x22x+y24y+(1+49)=0
(x22x+1)+(y24y+4)9=0
(x22x+1)+(y24y+4)=9
(x1)2+(y2)2=32
Comparing the above equation with the general form of circle, (xh)2+(yk)2=r2, we get,
r = radius = 3 units.

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