A point P moves so that its distance from the point (a, 0) is always equal to its distance from the line x + a = 0. The

locus of the point is

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Solution

The correct option is A

$(x - a)^{2} + y^{2} = (x + a)^{2} \Rightarrow y^{2} = 4 a x$

Note: This is also the definition of parabola $y^{2}$ = 4ax.

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