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Q.

α,β,γ are the root of x3−2x2−x+2=0. Centroid of triangle with verties α,β,γ, (β,γ,α),(γ,α,β) is

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a

−23,23,−23

b

−23,13,23

c

23,23,23

d

43,23,23

answer is C.

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Detailed Solution

s1=α+β+γ=2s2=αβ+βγ+γα=−1α+β+γ3,α+β+γ3,α+β+γ3
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α,β,γ are the root of x3−2x2−x+2=0. Centroid of triangle with verties α,β,γ, (β,γ,α),(γ,α,β) is