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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 :

D(-7, 9) and E( 15, -2) in the ratio 4:7. 

Sum

Solution

Let the point P divides DE in the ratio 4:7. 

∴ cooordinates of P are 

x = `(4 xx 15 + 7 xx - 7)/(4 + 7) = 1`

y = `(4 xx -2 + 7 xx 9)/(4 + 7) = 5`

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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 1.4

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