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
  $x^2+y^2 \pm x \pm y=0$