The circle on the chord $x\cos \alpha + y\sin \alpha = p$ of the circle ${x^2} + {y^2} = {a^2}$ as diameter has the equation

  • A

    ${x^2} + {y^2} - {a^2} - 2p(x\cos \alpha + y\sin \alpha - p) = 0$

  • B

    ${x^2} + {y^2} + {a^2} + 2p(x\cos \alpha - y\sin \alpha + p) = 0$

  • C

    ${x^2} + {y^2} - {a^2} + 2p(x\cos \alpha + y\sin \alpha + p) = 0$

  • D

    ${x^2} + {y^2} - {a^2} - 2p(x\cos \alpha - y\sin \alpha - p) = 0$

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