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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 (3, -3) and B (6, 9) in the ratio 1 :2. 

Sum

Solution

Let the point P divides the line segment AB in the ratio 1: 2.

∴ coordinates of Pare 

x = `(1 xx 6 + 2 xx 3)/(1 + 2) = 4`

y = `(1 xx 9 + 2"x" - 3)/(1 + 2) = 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 1.1

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