The equation of the circle which pass through the origin and makes intercepts of lengths 4 and 8 on the x- and y- axis respectively, are :

Question

\[\begin {array} {1 1} (1)\;x^2+y^2 \pm 4x \pm 8y=0 & \quad (2)\;x^2+y^2 \pm 2x \pm 4y=0 \\ (3)\;x^2+y^2\pm 8x \pm 16 y=0 & \quad (4)\;x^2+y^2 \pm 8x \pm 16 y=0 \end {array}\]