A circle touches the \( x \)-axis and also touches the circle with centre \( (0,3) \) and radius...
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A circle touches the \( x \)-axis and also touches the circle with centre \( (0,3) \) and radius 2 . The locus of the centre of the circle is
(A) a circle
(B) an ellipse
(C) a parabola
(D) a hyperbola
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