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

Answer 1

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).