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If P is point on the parabola y ^(2) =8x...

If P is point on the parabola `y ^(2) =8x and A` is the point `(1,0),` then the locus of the mid point of the line segment AP is

A

`y^(2)=4(x-(1)/(2))`

B

`y^(2)=2(2x+1)`

C

`y^(2)=x(1)/(2)`

D

`y^(2)=2x+1`

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