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A straight line meets the coordinates axes at A  and B , so that the centroid of the triangle OAB  is (1,2) . Then the equation of the line AB is

a
x+y=6
b
2x+y=6
c
x+2y=6
d
3x+y=6

detailed solution

Correct option is B

A(a,0),B(0,b) Centroid =(a3,b3)=(1,2)⇒a=3,b=6 Equations of AB  is x3+y6=1⇒2x+y=16

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