The locus of a point which moves so that...

The locus of a point which moves so that the ratio of the length of the tangents to the circles ` x^(2)+ y^(2)+ 4x+3 =0 and x^(2)+ y^(2) -6x +5=0` is 2 : 3 is
a)` 5x^(2) +5y^(2) - 60x +7=0`
b)` 5x^(2) +5y^(2) +60x -7=0`
c)` 5x^(2) +5y^(2) -60x -7=0`
d)` 5x^(2) +5y^(2) +60x +7=0`

A

` 5x^(2) +5y^(2) - 60x +7=0`

B

` 5x^(2) +5y^(2) +60x -7=0`

C

` 5x^(2) +5y^(2) -60x -7=0`

D

` 5x^(2) +5y^(2) +60x +7==0`

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The correct Answer is:

D

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