Let us suppose the given points are A (3, – 2) and B(– 3, – 4).
Let P and Q be the point of trisection. Therefore, we have
Trisection means is to divide a line segment into three equal parts. Hence, we can say that P divides AB in the ratio of 1:2 and Q divides in 2:1 .
Thus, coordinate of P is given by
Similarly the coordinate of Q is given by
Therefore, the coordinates of the point of trisection are