Q 1315856760.     The locus of the moving point `P` such that `2PA=3PB` , where `A` is `(0,0)` and `B` is `(4,-3)`.

A

`5x^2+5y^2-72x+54y+225=0`

B

`5x^2+5y^2-27x+54y+225=0`

C

`5x^2+5y^2-72x+54y+25=0`

D

`5x^2+5y^2+72x+54y+225=0`

HINT

Let `P(x_1,y_1)` and use given condtion
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