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

Question

( A ) $y^2 + 4x + 2 = 0$
( B ) $y^2 - 4x + 2 = 0$
( C ) $x^2 - 4y + 2 = 0$
( D ) $x^2 + 4y + 2 = 0$