$A$ pair of perpendicular straight lines passes through the origin and also through the point of intersection of the curve $x^2+y^2=4$ with $x+y=a$. The set containing the value of $a$ is

  • A
    $\{-2, 2\}$
  • B
    $\{-3, 3\}$
  • C
    $\{-4, 4\}$
  • D
    $\{-5, 5\}$

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