Question

Find the coordinates of the points of trisection of the line segment joining the points (3, −3) and (6, 9). 

Answer 1

Let A (x, y) and B (a, b) be the points of trisection of line segment MN MA:.AN=1 :2 

∴ coordinates of A are, 

x = `(1 xx 6 + 2 xx 3)/(1 + 2) = 4`

y = `(1 xx 9 + 2 xx -3)/(1 +2) = 1`

A (4, 1)

Also, MB : BN = 2 : 1

coordinates of B are, 

a = `(2 xx 6 + 1 xx 3)/(2 + 1) = 5`

b = `(2 xx 9 + 1 xx -3)/(2  1) = 5`

B (5, 5)

points of trisection are (4, 1) and (5, 5).