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If f(x) =a+bx+cx^(2) and alpha,beta "a...

If f(x) `=a+bx+cx^(2)` and `alpha,beta "and" gamma` are the roots of the equation `x^(3)=1`, then `|{:(a,b,c),(b,c,a),(c,a,b):}|` is equal to

A

`f(alpha)+f(beta)+f(gamma)`

B

`f(alpha)f(beta)+f(beta)f(gamma)+f(gamma)f(alpha)`

C

`f(alpha)f(beta) f(gamma)`

D

`-f(alpha)f(beta) f(gamma)`

Text Solution

Verified by Experts

The correct Answer is:
D
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ARIHANT MATHS-DETERMINANTS -Exercise (Single Option Correct Type Questions)
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