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Question
Find the ratio in which the line segment joining P ( 4, -6) and Q ( -3, 8) is divided by the line y = 0.
Solution
Given PQ is divided by the line Y = O i.e. x-axis.
Let S (x, O) be the pcint on line Y = 0, which divides the line segment PQ in the ratio k : 1.
Coordinates of S are
x = `(-3"k" + 4)/("k" + 1) , 0 = (8"k" - 6)/("k" + 1)`
⇒ 8 k = 6
⇒ k = `3/4`
Hence, the required ratio is 3: 4.
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