Let \( P \) be the point \( (1,0) \) and \( Q \) a point on the loc...

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

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(1) \( x^{2}-4 y+2=0 \)
(2) \( x^{2}+4 y+2=0 \)
(3) \( y^{2}+4 x+2=0 \)
(4) \( y^{2}-4 x+2=0 \)
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