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If `alpha,beta,gamma` are different from 1 and are the roots of `a x^3+b x^2+c x+d=0a n d(beta-gamma)(gamma-alpha)(alpha-beta)=(25)/2` , then prove that `|alpha/(1-alpha)beta/(1-beta)gamma/(1-gamma)alphabetagammaalpha^2beta^2gamma^2|=(25 d)/(2(a+b+c+d))`

A

`(25d)/(2a)`

B

`(25d)/a`

C

`(-25d)/(a+b+c+d)`

D

None of these

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Verified by Experts

The correct Answer is:
D
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