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Q.

If G is centroid of the $∆$ ABC then $G A + B G + G C =$

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a

$2 G B$

b

$2 G A$

c

$O$

d

$2 B G$

answer is D.

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Detailed Solution

$OG = \frac{OA + OB + OC}{3} G A + BG + GC = O A - OG + OG - OB + O C - OG = OA - OB + OC - OG = 3 OG - OB - OB - OG = 2 OG - 2 OB = 2 (BG)$

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If G is centroid of the ∆ ABC then GA+ BG +GC =