Question

The coordinates of the point which divides the line segment joining the points (4, - 3) and (8, 5) in the ratio 3:1 internally is (A) (3,7) (B) (-7,3) (C) (7,3) (D) (3,-7)​

Answer 1

Step-by-step explanation:

We are given,

(x1,y1)=(4,−3) & 1(x2,y2)=(8,5)

Let (x,y)coordinates which divides the line joining the point (x1,y1)

and (x2,y2) in ratio m:n=3:1 internally.

So,(x,y)=(m+nmx2+nx1,m+nmy2+ny1)

=(3+13(8)+1(4),3+13(5)+1(−3))

=(428,412)

(x,y)=(7,3)

Answer 2

Answer:

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)