Question

Find the ratio in which point P (k, 7 )divides the segment joining A ( 8, 9 ) and B (1, 2 ).

Answer 1

m*2+n*9/m+n=7.

2m+9n=7m+7n

5m=2n

m/n=2/5

Answer 2

P = ( mx2 + nx1 /m+n) (my2 + ny1/m+n)
(k,7) = (m*1 +n*8/n+n) (m*2 + n*9/m+n)
=(m+8n/m+n) (2m+9n/m+n)
2m+9n/m+n = 7
2m+9n = 7m+7n
2m-7m = 7n-9n
-5m = -2n
m/n = -2/-5
m:n = 2:5