The equation of a circle passing through origin and co-axial to circles ${x^2} + {y^2} = {a^2}$ and ${x^2} + {y^2} + 2ax = 2{a^2},$ is

  • A

    ${x^2} + {y^2} = 1$

  • B

    ${x^2} + {y^2} + 2ax = 0$

  • C

    ${x^2} + {y^2} - 2ax = 0$

  • D

    ${x^2} + {y^2} = 2{a^2}$

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