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G(1,1,−2) is the centroid of the triangle ABC and D is the mid point of BC. If A=(−1,1,−4) then D=

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a

12,1,−52

b

(5,1,2)

c

(-5,-1,-2)

d

(2,1,−1)

answer is D.

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Detailed Solution

Centroid G divides the median AD through A internally in the ratio 2:1⇒G=2D+A3 ⇒D=3G-A2=2,1,-1

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