A circle touches the x-axis and also touches the circle with centre at (0,3) and radius 2 . The locus of the centre of the circle is
a circle
an ellipse
a parabola
a hyperbola
Let locus of centre be α, β, then according to given condition, if are radii of circles, then
Internal touch. This case does not exist as centre of circle is (0, 3) and radius is 2.
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