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A(2, 1) and B(1, 2) are two points. If P...

A(2, 1) and B(1, 2) are two points. If P is a point such that `PA : PB = 2:1`, then the locus of P is

A

`8x^2 + 2xy + 8y^2 + 27x + 27y + 45 =0`

B

`4x^2 + xy + 4y^2 - 27x - 27y + 90 = 0`

C

`32x^2 + 8xy + 32y^2 -108 x - 108 y + 99 = 0 `

D

`8x^2 - 2xy + 8y^2 - 27x - 27y + 45 = 0`

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The correct Answer is:
C
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