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Consider the parabola with vertex (1/2, ...

Consider the parabola with vertex `(1/2, 3/4)` and the directrix `y = 1/2`. Let P be the point where the parabola meets the line `x = - 1/2`. If the normal to the parabola at P intersects the parabola again at the point Q, then `(PQ)^2` is equal to :

A

`25/2`

B

`75/8`

C

`125/16`

D

`15/2`

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