The locus of centre of a circle passing through $(a, b)$ and cuts orthogonally to circle ${x^2} + {y^2} = {p^2}$, is

  • [AIEEE 2005]
  • [IIT 1988]
  • A

    $2ax + 2by - ({a^2} + {b^2} + {p^2}) = 0$

  • B

    $2ax + 2by - ({a^2} - {b^2} + {p^2}) = 0$

  • C

    ${x^2} + {y^2} - 3ax - 4by + ({a^2} + {b^2} - {p^2}) = 0$

  • D

    ${x^2} + {y^2} - 2ax - 3by + ({a^2} - {b^2} - {p^2}) = 0$

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