A triangle ABC is placed so that the mid-points of the sides are on the x,y,z axes. Lengths of the intercepts made by the plane containing the triangle on these axes are respectively α,β,γ. Coordinates of the centroid of the triangle ABC are

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(−α/3,β/3,γ/3)

(α/3,−β/3,γ/3)

(α/3,β/3,−γ/3)

(α/3,β/3,γ/3)

answer is D.

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Detailed Solution

Centroid of triangle ABC = Centroid of triangle DEFDα,0,0E0,β,0F0,0,γ

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