Question

Find the ratio in which the x-axis divides internally the line joining points A (6, -4) and B ( -3, 8).

Answer 1

Let 'P'lies on x-axis

∴ Let P = (x, 0)

y = `("my"_2 + "ny"_1)/("m + n")`

`0 = (8"m" - 4"n")/("m + n")`

0 = 8m + 4n

∴ 4n = 8m

`4/8 = "m"/"n"`

`"m"/"n" = 1/2`

Ratio = m : n = 1 : 2