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The locus of the moving point P such tha...

The locus of the moving point P such that `2PA=3PB`, where A is (0.0) and B is (4,-3), is

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The correct Answer is:
`5x^2+5y^2-72x+54y+225=0`
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Knowledge Check

  • The locus of a point which moves, such that 2PA=3PB, where A(0,0) and B(4, -3) are points, is

    A
    `5x^2-5y^2-72x+54y+225=0`
    B
    `5x^2+5y^2-72x+54y+225=0`
    C
    `5x^2+5y^2+72x-54y+225=0`
    D
    `5x^2+5y^2-72x-54y-225=0`

  • If A -= (0,0) and B -= (4,-3) then the locus of the moving point P such that 2 PA = 3PB is

    A
    `5x^(2)+5y^(2)`+72x+54y+225=0
    B
    `5x^(2)+5y^(2)`-72x-54y+225=0
    C
    `5x^(2)+5y^(2)`-72x+54y+225=0
    D
    none of these

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