Question

Find the ratio in which the line segment joining A (2, -3) and B(S, 6) i~ divided by the x-axis. 

Answer 1

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

Coordinates of P are 

x = `(5 "k" + 2)/("k" + 1) ,    0 = (6"k" - 3)/("k" + 1)`

⇒   0 = 6 k - 3

k = `1/2`

Hence, the required ratio is 1 : 2.