Let \( P \) be a point \( (1,0) \) and \( Q \) a point on the locus \( y^{2}=8 x \). The locus o...

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Let \( P \) be a point \( (1,0) \) and \( Q \) a point on the locus \( y^{2}=8 x \). The locus of mid-point of \( P Q \) is
(a) \( x^{2}-4 y+2=0 \)
(b) \( x^{2}+4 y+2=0 \)
(c) \( y^{2}+4 x+2=0 \)
(d) \( y^{2}-4 x+2=0 \)
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