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

Step-by-step solution

Since, straight line meets the coordinate axes at A and B , so equation of line intercept form is x a + y b =1 . Let G represents the centroid of O A B . Given that G=(1,2) . Centroid G ( 0+a+0 3 , 0+0+b 3 )=(1,2) (given) a 3 =1 a=3, b 3 =2 b=6 Hence, required equation of line is x 3 + y 6 =1 2 u+i j=6