A circle touches the x-axis and also touches the circle with centre at $(0,3)$ and radius the circle with centre at $(0,3)$ and radius 2. The locus of the center of circle is

Question

$\begin{array}{1 1}(A)\;a\; hyperbola \\(B)\;a\; parabola \\(C)\;an\; ellipse \\(D)\;a \;circle \end{array}$