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Question
The line segment joining the points (−3, −4) and (1, −2) is divided by y-axis in the ratio
Options
1 : 3
2 : 3
3 : 1
3 : 2
Solution
3 : 1
Let the points (−3, −4) and (1, −2) be divided by y-axis at (0,t) in the ratio m:n.
\[\therefore \left( \frac{m - 3n}{m + n}, \frac{- 2m - 4n}{m + n} \right) = \left( 0, t \right)\]
\[\Rightarrow 0 = \frac{m - 3n}{m + n}\]
\[ \Rightarrow m: n = 3: 1\]
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