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Find the Coordinate of a Point P Which Divides the Line Segment Joining - Mathematics

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Question

Find the coordinate of a point P which divides the line segment joining :

A(-8, -5) and B (7, 10) in the ratio 2:3. 

Sum

Solution

Let the point P divides the line segment AB in the ratio 2:3. 

∴ coordinates of P are 

x = `(2 xx 7 + 3 xx - 8)/(2 + 3) = -2`

y = `(2 xx 10 + 3 xx -5)/(2 + 3) = 1`

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Chapter 12: Distance and Section Formulae - Exercise 12.2

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Frank Mathematics - Part 2 [English] Class 10 ICSE
Chapter 12 Distance and Section Formulae
Exercise 12.2 | Q 1.5

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