Question

the point which divides the line segment joining the points a (0,5) and b (5,0) internally in ratio 2:3 is

Answer 1

x1= 0,x2= 5

y1= 5,y2= 0

let the point be = (x,y)

using formula

and ratio m: n= 2:3 respectively

using formula = x= mx2+ nx1 /m+ n

= x= 2(5)+3(0) /5

x= 10/5

x= 2

similarly for y= my2+ny1/m+n

2(0)+ 3(5)/5

= 15/5

y= 3

hence the coordinate is (2,3) ..