Question

find the mid point of the line segment joining the points of A (-1,5) and B (2,2) ​

Answer 1

Answer:

Coordinate of point P by mid point formula,

We have mid point formula,

P(X,Y)=(  

2

x  

1

​  

+x  

2

​  

 

​  

,  

2

y  

1

​  

+y  

2

​  

 

​  

)

⇒(  

2

−10−2

​  

,  

2

4+0

​  

)=(−6,2)

let the ratio be m:n

Then,  

m+n

mx  

2

​  

+nx  

1

​  

 

​  

=−6

⇒  

m+n

m(−4)+n(−9)

​  

=−6

⇒−4m−9n=−6m−6n

⇒2m=3n

⇒  

n

m

​  

=  

2

3

​  

 

The raitio =m:n=3:2

Now, ⇒  

m+n

my  

2

​  

+ny  

1

​  

 

​  

=2

⇒  

2+3

3y+2(−4)

​  

=2⇒3y−8=10

⇒y=  

3

18

​  

=6