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 $\alpha ,\beta ,\gamma $. 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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