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Mathematics · 2023 · 2 marks
CBSE 2023 · Region 6 · Set 3 · Q21
Find the ratio in which the y -axis divides the line segment joining the points (5, -6) and (-1, -4).
Find the ratio in which the y -axis divides the line segment joining the points $\displaystyle (5, -6)$ and $\displaystyle (-1, -4)$.
Marking-scheme solution
Let $\displaystyle \mathrm{P}(0, \mathrm{y})$ be the point on y axis which divides AB in the ratio $\displaystyle \mathrm{k}: 1$
\[\frac{-k+5}{k+1}=0 \Rightarrow k=5
\]Ratio is $\displaystyle 5$ : $\displaystyle 1$
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