The equation of the circle passing through the point $(2,-4)$ and has a centre at $(0,0)$ is

Question

$\begin{array}{1 1} (a)\;x^2+y^2=400 \\ (b)\; x^2+y^2=100\\ (c)\; x^2+y^2=30 \\ (d)\; x^2+y^2=20 \end{array}$