A pair of tangents are drawn from the origin to the circle ${x^2} + {y^2} + 20(x + y) + 20 = 0$. The equation of the pair of tangents is

  • A

    ${x^2} + {y^2} + 10xy = 0$

  • B

    ${x^2} + {y^2} + 5xy = 0$

  • C

    $2{x^2} + 2{y^2} + 5xy = 0$

  • D

    $2{x^2} + 2{y^2} - 5xy = 0$

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