﻿ The line segment joining A(6, 3) to B(–1, –4) is doubled in length by having its length added to each end. Find the coordinates of the new ends. : Kaysons Education

# The Line Segment Joining A(6, 3) To B(–1, –4) Is Doubled In Length By Having Its Length Added To Each End. Find The Coordinates Of The New Ends.

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## Question

### Solution

Correct option is

Let P and Q be the required new ends.

Let the coordinates of P be (x1y1)

Given          AB = 2AP

i.e., A divides BP internally in the ratio 2 : 1.

Also let coordinates of Q be (x2y2

Given AB = 2BQ

i.e.B divides AQ internally in the ratio 2 : 1

Alternative Method :

P divides AB externally in the ratio 1 : 3

Also      AB = 2BQ

Q divides AB externally in the ratio 3 : 1

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Testing

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