Question

on what ratio the point (6,-5) divides the line segment joininh (8,-9) and
​

Answer 1

Step-by-step explanation:

Let the point divides (−3,1) and (−8,9) in ratio λ:1

Section Formula: If point (x,y) divides line joining two points in

(x

1

,y

1

) and (x

2

,y

2

) in ratio m:n internally

x=

m+n

mx

2

+nx

1

andy=

m+n

my

2

+ny

1

∴−6=

λ+1

−8λ−3

−6λ−6=−8λ−3

2λ=3

λ=

2

3

a=

2

3

+1

2

3

×9+1

a=

5

29

Ratio =3:2 and a=

5

29

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