The equations of the circle which pass through the origin and make intercepts of lengths $4$ and $8$ on the $x$ and $y$-axes respectively are

  • A
    $x^2+y^2 \pm 4x \pm 8y=0$
  • B
    $x^2+y^2 \pm 2x \pm 4y=0$
  • C
    $x^2+y^2 \pm 8x \pm 16y=0$
  • D
    $x^2+y^2 \pm x \pm y=0$

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