Question

Find the coordinates of the point which divides the line segment joining the points (4, – 3) and

(3,4) in the ratio 3 : 1 internally.
​

Answer 1

Step-by-step explanation:

We are given,

(x

1

,y

1

)=(4,−3) & 1(x

2

,y

2

)=(8,5)

Let (x,y)coordinates which divides the line joining the point (x

1

,y

1

)

and (x

2

,y

2

) in ratio m:n=3:1 internally.

So,(x,y)=(

m+n

mx

2

+nx

1

,

m+n

my

2

+ny

1

)

=(

3+1

3(8)+1(4)

,

3+1

3(5)+1(−3)

)

=(

4

28

,

4

12

)

(x,y)=(7,3)