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Question
Point P(– 4, 6) divides point A(– 6, 10) and B(m, n) in the ratio 2:1, then find the coordinates of point B
Solution
By section formula
– 4 = `(2 xx "m" + 1 xx (-6))/(2 + 1)`
∴ – 4 = `(2"m" - 6)/3`
∴ –12 = 2m – 6
∴ 2m = – 6
∴ m = – 3
6 = `(2 xx "n" + 1 xx 10)/(2 + 1)`
∴ 6 = `(2"n" + 10)/3`
∴ 18 = 2n + 10
∴ 2n = 8
∴ n = 4
Co-ordinates of point B are (– 3, 4).
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