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Question

Equation of a circle concentric with the circle 2x2+2y26x+8y+1=0 and of double its area is?

A
2x2+2y212x+16y+1=0
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B
4x2+4y23x+16y+2=0
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C
4x2+4y212x+16y21=0
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D
None of these
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Solution

The correct option is B 4x2+4y212x+16y21=0
2x2+2y26x+8y+1=0

Area is doubled that means
r2=2r1

x2+y23x+4y+12=0

r1=(32)2+(2)212

94+424=234

r2=232

C2232=94+4C2

232=254C2

C2=254232

C2=214

x2+y23x+4y214=0

4x2+4y212x+16y21=0

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