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`alpha, beta, gamma` are the root of `x^(3)-2x^(2)-x+2=0`. Centroid of triangle with verties `alpha, beta, gamma, (beta, gamma, alpha), (gamma, alpha, beta)` is

A

`(-2/3,2/3,-2/3)`

B

`(-2/3,1/3,2/3)`

C

`(2/3,2/3,2/3)`

D

`(4/3,2/3,-2/3)`

Text Solution

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The correct Answer is:
C
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