Question

find the coordinates of points of trisection by join the point (x1y1)and (x2y2)?

Answer 1

Points of trisection are those points which divide a line segment AB in the ratio of 1:2 or 2:1.

From the formula - The point which divides a line segment AB in the ratio m:n is given by [(mx₂+nx₁)/(m+n),(my₂+ny₁)/(m+n)] whre A=(x₁,y₁),B=(x₂,y₂)

So points of trisection are [(x₂+2x₁)/3,(y₂+2y₁)/3] and  [(2x₂+x₁)/3,(2y₂+y₁)/3]