The equation of the circle which intersects circles ${x^2} + {y^2} + x + 2y + 3 = 0$, ${x^2} + {y^2} + 2x + 4y + 5 = 0$and ${x^2} + {y^2} - 7x - 8y - 9 = 0$ at right angle, will be

  • A

    ${x^2} + {y^2} - 4x - 4y - 3 = 0$

  • B

    $3({x^2} + {y^2}) + 4x - 4y - 3 = 0$

  • C

    ${x^2} + {y^2} + 4x + 4y - 3 = 0$

  • D

    $3({x^2} + {y^2}) + 4(x + y) - 3 = 0$

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