Question

find the coordinates of the point dividing the line segment joining points A(1,6) and B (10,-12) in the ratio 4:5​

Answer 1

Answer:

Using the section formula, if a point (x,y) divides the line joining the points (x

1

,y

1

) and (x

2

,y

2

) in the ratio m:n, then

(x,y)=(

m+n

mx

2

+nx

1

,

m+n

my

2

+ny

1

)

Let the points be A(5,−2) and B(9,6). Let a point P(x,y) divides AB in the ratio 3:1.

Therefore, we have

P(x,y)=(

3+1

3×9+1×5

,

3+1

3×6+1×(−2)

)

P(x,y)=(8,4)

Hence, the required point is (8,4).