Question

find the coordinates of the point which divides the line segment joining point A(-3,4) and B(13,12) in the ratio 5:3​

Answer 1

Answer:

We know that by section formula, the co-ordinates of the points which divide internally the line segment joining the points (x

1

,y

1

) and (x

2

,y

2

) in the ratio m:n is

(x,y)=(

m+n

mx

2

+nx

1

,

m+n

my

2

+ny

1

)

The end points of AB are A(4,-3) and B(9,7).

Therefore,

(x

1

=4,y

1

=−3) and (x

2

=9,y

2

=7)

Also, m=3 and n=2

Let the required point be P(x,y).

Using section formula,

x=

m+n

mx

2

+nx

1

,y=

m+n

my

2

+ny

1

x=

5

3×9+2×4

=7,y=

5

3×7+×−3

=3