Question

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

Answer 1

We have to check whether the line segment joining the points (-3, 10) and (6, -8) is divided by (-1, 6). 

Let P(- 1, 6) divides AB in the ratio m₁ : m₂. 

By using Section formula,

∴ P(-1, 6) point divides the line segment in the ratio 2 : 7.

∴ P(-1, 6) point divides the line segment in the ratio 2 : 7.