If $P (1, 0), Q (- 1, 0)$ and $R (2, 0)$ are three given points. The point $S$ satisfies the relation $S Q^{2} + S R^{2} = 2 S P^{2}$ . The locus of $S$ meets $P Q$ at the point

(0, 0)

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(\frac{2}{3}, 0)

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(- \frac{3}{2}, 0)

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(0, - \frac{2}{3})

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Solution

The correct option is C $(- \frac{3}{2}, 0)$

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