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If the lengths of the tangents drawn fro...

If the lengths of the tangents drawn from P to the circles `x^(2)+y^(2)-2x+4y-20=0 and x^(2) +y^(2)-2x-8y+1=0` are in the ratio 2:1, then the locus P is

A

`x^(2)+y^(2)+2x+12y+8=0`

B

`x^(2)+y^(2)-2x+12y+8=0`

C

`x^(2)+y^(2)+2x-12y+8=0`

D

`x^(2)+y^(2)-2x-12y+8=0`

Text Solution

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The correct Answer is:
D
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