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If q(1), (2), q(3) are roots of the eq...

If `q_(1), _(2), q_(3)` are roots of the equation `x^(3)+64=0`, then the value of `|(q_(1),q_(2),q_(3)),(q_(2),q_(3), q_(1)),(q_(3),q_(1),q_(2))|` is :-

A

1

B

4

C

16

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
`|(q_(1),q_(2),q_(3)),(q_(2),q_(3),q_(1)),(q_(3),q_(1),q_(2))|rarrC_(1)+C_(2)+C_(3)`
`=(q_(1)+q_(2)+q_(3))|(1, q_(2),q_(3)),(1,q_(3),q_(1)),(1,q_(1),q_(2))|`
`=0(because" sum of roots is zero")`
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