Question

Find the ratio in which the point (1, a) divides the join of (-5, 2) and (3, 6),
hence find ‘a’.

Answer 1

Answer:Let's assume the point P (1,a) divide the line segment AB in the ratio k:1.

Then by section formula, we have

1=  

k+1

4k−1

​  

,

k+1=4k−1.

2=3k  

k=  

3

2

​  

  .........(1)  

And,  

a=  

k+1

−k+4

​  

 

a=  

3

2

​  

+1

3

−2

​  

+4

​  

     [using (1)]

a=  

5

10

​  

=2  

Thus , the required ratio is 2:3 and a=2.

Step-by-step explanation: