On a graph paper, an insect moves from origin O and covers a distance of 4√3 in the direction of 60° east of north and reaches point A. Then, it turns and moves due south and reach point B on x-axis and again it turns and reaches to origin. What is the equation of median through A?

Coordinates of point A (6,2√3).   Coordinates of point at x-axis through which median through A passes are (3,0). (As median divides the line joining O and B into two equal parts) Equation of line y-y1=m(x-x1), where m = (y2-y1)/(x2-x1) y2=2√3, y1=0, x2=6, x1=3 m=(2/√3) Putting m in the equation, we get y=(2/√3) (x-3) √3y-2x+6=0 (Correct Answer)