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Question: The locus of the centre of a circle which passes through the point (a, 0) and touches the line \(x +...

The locus of the centre of a circle which passes through the point (a, 0) and touches the line x+1=0x + 1 = 0, is.

A

Circle

B

Ellipse

C

Parabola

D

Hyperbola

Answer

Parabola

Explanation

Solution

The locus is a parabola as distance of centre from straight line = its distance from point (a, 0).