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Questions  

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

a
(−α/3,β/3,γ/3)
b
(α/3,−β/3,γ/3)
c
(α/3,β/3,−γ/3)
d
(α/3,β/3,γ/3)

detailed solution

Correct option is D

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

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