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

Circle

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Ellipse

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Parabola

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Hyperbola

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Solution

The correct option is C
Parabola

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

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Similar questions

The locus of the centre of a circle which touches the circles $| z - z_{1} | = a a n d | z - z_{2} | = b$ externally is

4 a

x

y

2 b

^i - 2 x^j - 3 y^k a n d^i + 3 x^j + 2 y^k

(2, 0)

x^{2} + y^{2} = a^{2}

x^{2} + y^{2} = 4 a x

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