   Chapter 10.1, Problem 31E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# There are two points on the y -axis that are located a distance of 6 units from the points ( 3 ,   1 ) . Determine the coordinates of each point.

To determine

The coordinates of two points on the y-axis that are located a distance of 6 units from the points (3, 1).

Explanation

Given points =(3, 1)

Distance Formula:

The distance between the two points (a, b) and (c, d) as below,

R=(a-c)2+(b-d)2

Here, it is given that all the second points lie on y-axis. Then, the x-coordinates are 0.

Hence, c=0

From the given data,

R=6

a=3

b=1

d=?

Substituting the values in the above equation,

6=(3-0)2+(1-d)2

6=9+(1-d)2

6=9+d2+1-2d

Take square root on both sides,

36=9+d2+1-2d

36=10+d2-2d

36-10=d2-2d

26=d2-2d

d2-2d-26=0

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