If alpha and beta are roots of the equat...

If `alpha and beta` are roots of the equation `x^(2)+px+2=0` and `(1)/(alpha)and (1)/(beta)` are the roots of the equation `2x^(2)+2qx+1=0`, then `(alpha-(1)/(alpha))(beta-(1)/(beta))(alpha+(1)/(beta))(beta+(1)/(alpha))` is equal to :

A

`9/4 (9+q^2)`

B

`9/4 (9-q^2)`

C

`(9)/(4)(9+p^2)`

D

`9/4 (9-p^2)`

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The correct Answer is:

D

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