A variable circle passes through the fixed point (2, 0) and touches the y-axis then the locus of its centre is

a parabola

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a circle

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an ellipse

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a hyperbola

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Solution

The correct option is A
a parabola

Equation of the circle is $(x - x_{1})^{2} + (y - y_{1})^{2} = x_{1}^{2} P o n i t (2, 0) l i e s o n t h e c i r c l e y^{2} = 4 (x - 1) I t i s a p a r a b o l a$

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(2, 0)

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