Coordinate Geometry
RD Sharma
CBSE
Grade 10
Question:
Find the ratio in which the line segment joining $A(2, -3)$ and $B(5, 6)$ is divided by the $x$-axis. Also find the point of division.
Step-by-Step Solution
Key Concept: On $x$-axis, $y = 0 \Rightarrow \dfrac{k(6) - 3}{k+1} = 0 \Rightarrow 6k = 3 \Rightarrow k = 1/2 \Rightarrow 1 : 2$. $x = \dfrac{1(5) + 2(2)}{3} = 3$. Point is $(3, 0)$.
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Correct Answer:
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