In what ratio is the segment joining points (2, 3) and (-2, 1) divided by the Y-axis?

Solution (By Examveda Team)

$$\eqalign{ & \frac{{k:1}}{{{\text{A}}\left( { - 2,\,1} \right)\,\,\,\,\,\,\,\,\,\,{\text{C}}\left( {x,\,y} \right)\,\,\,\,\,\,\,\,\,\,{\text{B}}\left( {2,\,3} \right)}} \cr & \Rightarrow x = \frac{{ - 2k + 2}}{{k + 1}} \cr & {\text{At }}y{\text{ - axis}}\,\boxed{x = 0} \cr & \therefore 0 = \frac{{ - 2k + 2}}{{k + 1}} \cr & \Rightarrow \boxed{k = 1} \cr & {\text{Ratio}} = 1:1 \cr} $$