Question

In which ratio does the point (2, -1) divides the line segment joining the points (1.6) and (4, -5)​

Answer 1

Answer:

Let (

2

1

,6) divide the line segment joining the points (3,5) and (−7,9) in the ratio of K:1.

Using section formula, the co-ordinate of the dividing point are given as

x=

K+1

Kx

2

+x

1

and y=

K+1

Ky

2

+y

1

⇒

2

1

=

K+1

K(−7)+3

⇒

2

1

=

K+1

−7K+3

⇒K+1=−14K+6

⇒15K=5

⇒K=

3

1

∴ Ratio is 1:3