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If `alpha , beta, gamma ` are the roots of `x^(3) + px^(2) +qx+ r = 0,` then the value of `(1 + alpha^(2))(1 + beta^(2)) (1 + gamma^(2))` is

A

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

B

`(1+p)^(2)+(1+q)^(2)`

C

`(r+p)^(2)+(q+1)^(2)`

D

`(r-p)^(2)+(q-1)^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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