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Q.

A(1, 3), B(4, –1), C(–8, 4) are the vertices of a triangle ABC. If D, E, F divides BC, CA, AB in the same ratio 2:1 then centroid of the triangle DEF is

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a

(1, 2)

b

(1, –2)

c

(–1, –2)

d

(–1, 2)

answer is A.

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Detailed Solution

 Centroid of △DEF=Centriod of∆ABC

    Centriod of ∆DEF =   1+4−83,3−1+43

 Centroid of ΔDEF=(-1,2)

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