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Question
Find the ratio in which the line segment joining A (2, -3) and B(S, 6) i~ divided by the x-axis.
Solution
Let the point on x-axis be P (x, O) which divides the line segment AB in the ratio k: 1.
Coordinates of P are
x = `(5 "k" + 2)/("k" + 1) , 0 = (6"k" - 3)/("k" + 1)`
⇒ 0 = 6 k - 3
k = `1/2`
Hence, the required ratio is 1 : 2.
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