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Questions  

IfD2,1,0,E2,0,0,F0,1,0 are mid points of the sides BC,CA,ABof triangle ABCrespectively. Then, the centroid of triangleABC is

a
−13,13,13
b
13,13,13
c
23,13,13
d
43,23,0

detailed solution

Correct option is D

Given  areD,E,F midpoints of the sides of the triangle  ABC, so that the centroid of the triangle ABC  and the centroid of the triangle DEFare coincident. Hence, the centroid of the triangle  DEFis  2+2+03,1+0+13,0+0+03=43,23,0Therefore, the centroid of the triangle  ABC is  43,23,0

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