Question

In what ratio is the line joining (2, -4) and (-3, 6) divided by the line y = O ?

Answer 1

Let P (x, O) be tne point on line y = 0 i.e. x-axis which divides the line segment AB in the ratio k : 1.

Coordinates of P are 

x = `(3 "k" + 2)/("k + 1")` , 0 = `(6"k" - 4)/("k + 1")`

⇒ 6k = 4

⇒ k = `2/3`

Hence tne required ratio is 2: 3.