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Question
Find the coordinates of the points of trisection of the line segment joining the points (3, -3) and ( 6, 9).
Solution
Let A (x, y) and B (a, b) be the points of trisection of line segment MN MA:.AN=1 :2
∴ cocrdinates 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).
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