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If a point P is moving such that the len...

If a point P is moving such that the length
of tangents drawn from P to
`x^(2) + y^(2) - 2x + 4 y - 20= 0" ___"(1)`.
and `x^(2) + y^(2) - 2x - 8 y +1= 0" ___"(2)`.
are in the ratio `2:1`
Then show that the equation of the locus
of P is `x^(2) + y^(2) - 2x - 12 y +8= 0`

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