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Question
Find the points of trisection of the segment joining A ( -3, 7) and B (3, -2).
Solution
Let P (x, y) and Q (a, b) be the pcint of trisection of the line segment AB .
AP : PB = 1 : 2
Coordinates of P are
x = `(1 xx 3 + 2 xx -3)/(1 + 2) = -1`
y = `(1 xx -2 + 2 xx 7)/(1 + 2) = 4`
P (-1, 4)
AQ : QB = 2 : 1
coordinates of Q are,
a = `(2 xx 3 = 1 xx -3)/(2 + 1) = 1`
b = `(2 xx - 2 + 1 xx 7)/(2 + 1) = 1`
Q (1 , 1)
∴ The points of trisection ae (- 1, 4)and (1, 1).
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