Let $P$ be the point $(1, 0)$ and $Q$ a point on the parabola ${y^2} = 8x$. The locus of mid point of $PQ$ is :

Question

${y^2} - 4x + 2 = 0$

${y^2} + 4x + 2 = 0$

${x^2} + 4y + 2 = 0$

${x^2} - 4y + 2 = 0$

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