The locus of the centre of a circle which passes through two variable points $(a, 0)$ , $(- a, 0)$ is

x = 1

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x + y = a

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x + y = 2 a

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x = 0

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Solution

The correct option is B $x = 0$
It is clear from the graph that centre of circle lies in $y$ axis ie, $x = 0$

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