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A point Plies inside the circles x^2+y^...

A point Plies inside the circles `x^2+y^2-4=0 and x^2+y^2-8x+7=0`. The poirt P starts moving such that it is always inside the circles, its path enclosus greatest possible area and it is at a fixeddistance from an arbitrarily chosen point in its region. The locus of P is.

A

`4x^(2)+4y^(2)-12x+1=0`

B

`4x^(2)+4y^(2)+12x+1=0`

C

`4x^(2)+4y^(2)-3x-2=0`

D

`4x^(2)+4y^(2)-3x+2=0`

Text Solution

Verified by Experts

The correct Answer is:
D
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