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If ` alpha and beta ` are the roots of ` x^(2) +px+q=0` and ` gamma , delta `are the roots of ` x^(2) +rx+x=0` , then evaluate `(alpha - gamma ) ( beta - gamma ) (alpha - delta ) ( beta - delta) ` in terms of p,q,r and s .

A

`(r - p)^(2) - (q - s)^(2)`

B

`(r - p)^(2) - (q - s)^(2)`

C

`(r - p)^(2) + (q - s)^(2) - 2 rp (r - p) (q - s)`

D

none of these

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The correct Answer is:
D
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