Question

if the points (2/5,1/3),(1/5,k)and(4/5,0) are collinear then find the value of k.​

Answer 1

Answer:

When three points A, B and C are collinear, slope of line

joining any two points (say AB) = slope of line joining any other two

points (say BC).

Slope of the line passing through points (x

1

,y

1

) and (x

2

,y

2

) =

x

2

−x

1

y

2

−y

1

Slope of the line passing through (

5

2

,

3

1

) and (

2

1

,k)= Slope of line passing through (

2

1

,k) and (

5

4

,0)

2

1

−

5

2

k−

3

1

=

5

4

−

2

1

0−k

On solving, k=

4

1