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Find the Coordinates of Point P Which Divides Line Segment Joining a ( 3, -10) and B (3, 2) in Such a Way that Pb: Ab= 1.5. - Mathematics

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Question

Find the coordinates of point P which divides line segment joining A ( 3, -10) and B (3, 2) in such a way that PB: AB= 1.5. 

Sum
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Solution

Given: - PB : AB =1 : 5

∴  PB : PA = 1 :  4

Coordinates of Pare 

(x , y) = `((4 xx 3 - 3)/5 , (4 xx 2 - 10)/5) = (9/5 , -2/5)`

P`(9/5 , -2/5)`

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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 5
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