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In what ratio is the segment joining points (2, 3) and (-2, 1) divided by the Y-axis?
Answer & Solution
Correct Answer:
Option
B
$$\eqalign{
& \frac{{k:1}}{{{\text{A}}\left( { - 2,\,1} \right)\,\,\,\,\,\,\,\,\,\,{\text{C}}\left( {x,\,y} \right)\,\,\,\,\,\,\,\,\,\,{\text{B}}\left( {2,\,3} \right)}} \cr
& \Rightarrow x = \frac{{ - 2k + 2}}{{k + 1}} \cr
& {\text{At }}y{\text{ - axis}}\,\boxed{x = 0} \cr
& \therefore 0 = \frac{{ - 2k + 2}}{{k + 1}} \cr
& \Rightarrow \boxed{k = 1} \cr
& {\text{Ratio}} = 1:1 \cr} $$
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