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Q.

If α,β,γ are real roots of the equation x33px2+3qx1=0 . Then the centroid of the
triangle whose vertices areα,1α,β, 1β and γ, 1γ is...

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a

(p,q)

b

(0,0)

c

(-p,-q)

d

(-p,q)

answer is A.

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Detailed Solution

detailed_solution_thumbnail

LetA=α,1α,B=β,1β and Cγ,1γ Let G(x,y)the centroid ofABC, then
X=α+β+γ3=3p3=p And y=1α+1β+1γ3=αβ+βγ+γα3αβγ=3q3=q

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