A point moves so that square of its distance from the point $(3, -2)$ is numerically equal to its distance from the line $5x - 12y = 13$. The equation of the locus of the point is

  • A

    $13{x^2} + 13{y^2} - 83x + 64y + 182 = 0$

  • B

    ${x^2} + {y^2} - 11x + 16y + 26 = 0$

  • C

    ${x^2} + {y^2} - 11x + 16y = 0$

  • D

    None of these

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