Question

find the 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

Given,
AB is a line and P is the point on AB

now , coordinate of P=(4,m)
coordinate of A=(2,3)
coordinate of B=(6,-3)
let be ratio of p point=1:K

now x=1×6+k×2/1+K

4=6+2k/1+K
4+4k=6+2k
K=1
now ratio of p point =1:1
by using mid point formula

y =3-3/1+1
m=0/2
m=0

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