Find the points of trisection of the line joining the points (11, 9) and (1, 2).


Let the line segment joining the points A (1, 2) and B (11, 9) be trisected at points P (x1, y1) and Q (x2, y2).


Clearly, P divides the line segment AB internally in the ratio1:2.



∴ By internal division formula,


x1 =


y1 =


Again, Q divides the line segment AB internally in the ratio 2:1.


∴ By internal division formula,


x2 =


y2 =


∴ The required points are P and Q .


9
1