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Questions  

α,β,γ are the root of x32x2x+2=0. Centroid of triangle with verties α,β,γ,(β,γ,α),(γ,α,β)

a
−23,23,−23
b
−23,13,23
c
23,23,23
d
43,23,23

detailed solution

Correct option is C

α,β,γ are the root of x3−2x2−x+2=0 ⇒α+β+γ =2 ∴centroid G=α+β+γ 3,β+γ +α3,γ +α+β3=23,23,23

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