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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)/(5), (2)/(3), (2)/(3))`

Text Solution

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The correct Answer is:
c
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