Question

The line joining the points (3,2) and (6,8) is divided into four equal parts,find the coordinates of the three points of division.

Answer 1

Let line AB is divided by the points P,Q and R in four equal parts respectively, then the point P divide the line in the ratio of 1:3, Q is the mid-point and R divides in the ratio of 3:1 .Now apply section formula and you can find easily the coordinates.