Question

Determine the ratio in which the straight line x - y - 2 = 0 divides the line segment joining (3, -1) and (8, 9).

Answer 1

Step-by-step explanation:

hope this will help you.....

Answer 2

Ratio is 2:3.

Step-by-step explanation:

By section formula, coordinates of P(x,y) = (m1x2 + m2x1/ m1 + m2 , m1y2 + m2y1/ m1 + m2)  

= (8m1 + 3m2/ m1 + m2 , 9m1 - 1m2/ m1 + m2)  

Line x-y-2 passes through AB, x and y will be solutions.

So, (8m1 + 3m2/ m1 + m2 , 9m1 - 1m2/ m1 + m2)  = 2

 8m1 - 9m1 + 3m2 + m2 = +2m1 + 2m2

 -1m1 + 4m2 = 2m1 + 2m2

  2m2 = 3m1

 m1/m2 = 2/3

The ratio is 2:3.