Find the ratio in which the line segment joining the points (– 3, 10) and (6, – 8) is divided by (– 1, 6)

Question

Find the ratio in which the line segment joining the points (&#x2013; 3, 10) and (6, &#x2013; 8) is divided by (&#x2013; 1, 6)

Philoid · Accepted Answer

Let the ratio in which the line segment joining (- 3, 10) and (6, - 8) is divided by point (- 1, 6) be k : 1

Therefore,

-1 =

-k – 1 = 6k – 3

7k = 2

k =

Therefore, the required ratio is 2: 7