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A circle touches the X-axis and also touches the circle with centre at (0, 3) and radius 2. The

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

(a) a parabola

(b) a hyperbola

(c) a circle

(d) an ellipse

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1 Answer

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Best answer

Correct Option (a) a parabola

Explanation:

Since, circle touches the X-axis and also touches circle with the centre at (0, 3) and radius 2, then 

This equation represents a parabola. Thus, locus of the centre of the circle is a parabola.

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