Question

find the ratio in which point p(k,7)divides the segment joining A(8,9)andB(1,2) also find k.​

Answer 1

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

If points (x,y)divides line joining two points (x1,y1)and(x2,y2) in ratio m and n then,

x=mx2+nx1/m+n

y= my2+ny1

k= m+8/m+1

7=2m+9/m+1

k= 2/5+8/2/5+1

7m+7=2m+9

k= 15/7

Ratio m=2/5or2:5