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If P=(1,0), Q=(-1,0) and R=(2,0) are thr...

If `P=(1,0), Q=(-1,0)` and `R=(2,0)` are three given points, then the locus of `S` satisfying the relation `S Q^(2)+S R^(2)=2 S P^(2)` is

A

a line parallel to `x` -axis

B

a circle through the origin

C

a circle with centre at the origin

D

a line parallel to `y` -axis

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The correct Answer is:
D
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