Question

8.
Find the
9. Find the ratio in which the point p(m,6) divides the line segment joining the points A(-4,3)
and B(2,8). Also find the value of 'm'.
​

Answer 1

Answer:

Let point P divides AB in ratio λ:1

Section Formula: If point (x,y) divides line joining two points in  

(x  

1

​  

,y  

1

​  

) and (x  

2

​  

,y  

2

​  

) in ratio m:n internally

x=  

m+n

mx  

2

​  

+nx  

1

​  

 

​  

 

m=  

λ+1

2λ−4

​  

=  

2

3

​  

+1

2×  

2

3

​  

−4

​  

 =  

5

−2

​  

                   

Now, y=  

m+n

my  

2

​  

+ny  

1

​  

 

​  

 

6=  

λ+1

8λ+3

​  

 

6λ+6=8λ+3

2λ=3 ⇒λ=  

2

3

​  

 

Ratio, λ:1 =  

2

3

​  

:1 =3:2

m=  

5

−2

​  

Step-by-step explanation:

Answer 2

Answer:

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