Q.

If D, E, F are mid points of sides BC, CA, AB
of triangle ABC and G is centroid then
 List-I                                       List-II
A) AD+BE+CF                1) CB
B) GA+GB                          2) 3OG
C) AB+CA                           3) O
D) OD+OE+OF               4) -23 (AD+BE)
                                                 5) 3OI
The correct matching is 

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a

 A→→3 , B→4 , C→1 , D→2

b

  A→4 , B→2 , C→1 , D→3

c

 A→3 , B→4 , C→5 , D→1
 

d

  A→2 , B→3 , C→5 , D→1
 

answer is A.

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Detailed Solution

OA-o             OB=b      OC=c OD=b+c2    OE=c2     OF=b2 A) AD+BE+CF=b+c2+c2-b+b2-c=o B) GA+GB=OA+OB-2O4=O+B-2b+c3 C) AB+CA=b-c D) OD+OE+OF=b+c2+c2+b2=b+c

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