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Mathematics · 2023 · 3 marks
CBSE 2023 · Region 6 · Set 1 · Q26
Find the ratio in which the line segment joining the points A (6,3) and B(-2, -5) is divided by x -axis.
Find the ratio in which the line segment joining the points $\displaystyle \mathrm{A}(6,3)$ and B$\displaystyle (-2, -5)$ is divided by $\displaystyle x$-axis.
Marking-scheme solution
Let \(\displaystyle \mathrm{P}(\mathrm{x}, 0)\) be the point on x axis which divides AB in the ratio k : $\displaystyle 1$
\[\frac{-5 \mathrm{k}+3}{k+1}=0 \Rightarrow \mathrm{k}=\frac{3}{5}
\]
Ratio is $\displaystyle 3$ : $\displaystyle 5$
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