Question

find the co ordinates of points of tri section of the line segment joining (4,-1) and (-2,3)​

Answer 1

Answer:

Given coordinates are(x1,y1)=(4,−1)

and (x2,y2)=(−2,−3)

Means of trisection:- A line segment in three equal parts then ratio is 1:2 and 2:1 internally.

Case (1) If m1:m2=1:2

Then, using formula

(x,y)=(m1+m2m1x2+m2x1,m1+m2m1y2+m2y1)

(x,y)=(1+21×(−2)+2×4,1+21×(−3)+2×(−1))

(x,y)=(