Question

Find the coordinates of the point, which divides the join of A(-1,7) and B(4,-3) in the ratio 2:3. ​

Answer 1

We know that, the coordinates of the point dividing the line segment joining the points (x

1

,y

1

) and (x

2

,y

2

) in the ratio m:n is given by (

m

1

+m

2

1

m

1

x

2

+m

2

x

1

,

m

1

+m

2

m

1

y

2

+m

2

y

1

)

Given (x

1

,y

1

)=(−1,7); (x

2

,y

2

)=(4,−3)

(m

1

,m

2

)=2:3

Coordinates of point of intersection of line segment is

(

2+3

(2)(4)+(3)(−1)

,

2+3

(2)(−3)+(3)(7)

)

=(5/5,15/5)

=(1,3)

Answer 2

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