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If alpha , beta are the roots of x^2+...

If `alpha , beta ` are the roots of `x^2+px +1=0` and ` gamma , delta ` are the roots of ` x^2+qx +1=0`, then `q^2-p^2=`

A

`(alpha- gamma )(beta - gamma)(alpha + delta )(beta+ delta)`

B

`(alpha+ gamma) (beta + gamma)(alpha - delta)(beta+delta)`

C

`(alpha +gamma)(beta + gamma)(alpha +delta )(beta +delta)`

D

None of these

Text Solution

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The correct Answer is:
A
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