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If the length of the tangent drawn from ...

If the length of the tangent drawn from `(f, g)` to the circle `x^2+y^2= 6` be twice the length of the tangent drawn from the same point to the circle `x^2 + y^2 + 3 (x + y) = 0` then show that `g^2 +f^2 + 4g + 4f+ 2 = 0 .`

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The correct Answer is:
`f^(2)+g^(2)+4f+4g=-2`
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