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If P is (3, 1) and Q is a point on the curve `y^2 = 8x` , then the locus of the mid-point of the line segment PQ is

A

`4y^2 -12x - 6y + 21 = 0`

B

`4y^2 -16 x - 4y + 25 = 0`

C

`4y^2 + 8x -3y -18 =0`

D

`4y^2 -12 x + 8y -15 =0`

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The correct Answer is:
B
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