Question

Find the ratio in which the line join (1, 2) and (4, 3) is divided by the line joining the points (2,3) and (4, 1).

Answer 1

Let A = (2,3) B = (4, 1) 

∴ the equation of line is a given by (y - 3)/(x - 2) 

⇒ (y - 3)/(x - 2) = - 2/2 = -1 

⇒ y – 3 = -x + 2 

∴ x + y – 5 = 0 is the equation of line 

Let c = (1, 2) and D(4,3) cut the line AB at P(x , y) is the ratio 2 : 1 then