Question

If P(x,y) divides the line join A(X1,Y1) B(X2,Y2) in the ratio m1:m2 then x and y are equal to​

Answer 1

2

Given that point P(x,y) divides the line segment joining A(x

1

y

1

) B(x

2

y

2

) in the ratio m

1

:m

2

then the coordinates of P can be obtained using the section formula.

( Diagram )

Using section formula we can write :

⇒(x,y)≡(

m

2

m

2

m

1

x

2

+m

2

x

1

,

m

1

+m

2

m

1

y

2

+m

2

y

2

)

Hence, the answer is (

m

2

m

2

m

1

x

2

+m

2

x

1

,

m

1

+m

2

m

1

y

2

+m

2

y

2

).