Question

Find the co-ordinates of the point which divides the line

segment joining the points (– 3, 2) and (– 8, 7) in the ratio

2 : 3 internally.​

Answer 1

Answer:

Any point let say (x , y) divides the line joining points (x

1

,y

1

) & (x

2

,y

2

) in the ratio m:n then co-ordinates were given by the formula

x=

m+n

x

1

×n+x

2

×m

y=

m+n

y

1

×n+y

2

×m

Let a point P divides the line joining the points A & B in the ratio m:n

A(1,3)

B(2,7)

The co-ordinates of point P is given by

x=

m+n

1×n+2×m

Given that m:n=3:4

⇒x=

3+4

1×4+2×3

⇒x=

7

10

y=

m+n

3×n+7×m

⇒y=

3+4

3×4+7×3

⇒y=

7

33

Answer 2

Answer:

the answer would be 7:33