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Question

If the area of the circle x2+y2+4x+2y+k=0 is 5π square cm, then k=?

A
20
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B
20
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C
±20
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D
0
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Solution

The correct option is D 0
x2+y2+4x+2y+k=0
x2+4x+2222+y2+2y+1212+k=0
(x+2)2+(y+1)25+k=0
(x+2)2+(y+1)2=5k
(x+2)2+(y+1)2=(5k)2
Comparing with the standard form of equation of circle (xh)2+(yk)2=l2, we get r=5k
Area of circle =5πcm2
πr2=5π
π(5k)=5π
5k=5
55=k
k=0

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