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JEE Advance - Mathematics (1988 - No. 9)

If $$P=(1, 0),$$ $$Q=(-1, 0)$$ and $$R=(2, 0)$$ are three given points, then locus of the point $$S$$ satisfying the relation $$S{Q^2} + S{R^2} = 2S{P^2},$$ is
a straight line parallel to x-axis
a circle passing through the origin
a circle with the centre at the origin
a straight line parallel to y-axis.

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