Question

if A(5a+2,b+6) divided the line segment joining B(4,-3a) and C (8a,5) internally in ratio 3:1 find the value of a and b​

Answer 1

Answer:

Step-by-step explanation:

Point P divides AB in the ratio 3:1

By using section formula

x=  

m+n

mx  

2

​

+nx  

1

​

 

​

 and y=  

m+n

my  

2

​

+ny  

1

​

 

​

 

∴  

4

3(8a)+3a+1

​

=9a−2

⇒9a=9

⇒a=1

And,

4

3(5)+1(−2)

​

=−b

⇒−4b=13

⇒b=  

4

−13

​