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Find the Ratio in Which the Line Segment Joining P ( 4, -6) and Q ( -3, 8) is Divided by the Line Y = 0. - Mathematics

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प्रश्न

Find the ratio in which the line segment joining P ( 4, -6) and Q ( -3, 8) is divided by the line y = 0. 

बेरीज

उत्तर

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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पाठ 12: Distance and Section Formulae - Exercise 12.2

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फ्रँक Mathematics - Part 2 [English] Class 10 ICSE
पाठ 12 Distance and Section Formulae
Exercise 12.2 | Q 22

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