Find the ratio in which the line segment A(1,−5) and B(−4,5) as divided by the x axis. Also find the coordinates of the point of division.
Equation of line AB=y+5
5+5−4−1(x−1)
y+5=−2x−1)
y+5=−2x+2
y=−2x−3
Now,
AB meets x−axis at (−32,0)
(λ−4λ+1,−5λ+5λ+1)≡dydx(−32,0)
λ=1
BCAC=λ1=1:1
Hence, this is the answer.