Question

What is ratio in which P(4,m) divides the line segment joining the points A(2,3) and B(6,-3).hence find m

Answer 1

let p divides A and B in k : n then
4 = (2n + 6k) /(k+n)
4k+4n = 2n + 6k
2n = 2k
n:k = 1:1
now
m = 3*1+(-3)*1 / 2
m= 0