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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 :

M( -4, -5) and N (3, 2) in the ratio 2 : 5. 

Sum

Solution

Let the point P divides the line segment MN in the ratio2: 5.

cooordinates of P are 

x = `(2 xx 3 + 5 xx -4)/(2 + 5) = -14 / 7 = -2`

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

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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 1.2

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