A variable circle touches the \( \mathrm{x} \)-axis and also touches the circle with centre at \...

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A variable circle touches the \( \mathrm{x} \)-axis and also touches the circle with centre at \( (0,3) \) and radius 2 . The locus of centre of the vaiable circle is
(a) An ellipse
(b) A circle
(c) A hyperbola
(d) A parabola
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