Question

Find the ratio in which p( k,7)divided segment joining A( 8,9 ) and B( 1,2 ) also find k​

Answer 1

Answer:

Let the point P divide AB in the ratio m:1

If points (x,y)divides line joining two points (x

1

,y

1

)and(x

2

,y

2

) in ratio m and n then,

x=

m+n

mx

2

+nx

1

y=

m+n

my

2

+ny

1

k=

m+1

m+8

7=

m+1

2m+9

k=

5

2

+1

5

2

+8

7m+7=2m+9

k=

7

15

Ratiom=

5

2

or2:5