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Elementary Geometry for College St...

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

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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In Exercises 27 to 34, Sketch and describe the locus of points in space.

Find the locus of points that are equidistant from two fixed points.

To determine

To find:

The locus of points that are equidistant from two fixed points.

Explanation

Definition:

A locus is set of all points and only those points that satisfy a given set of conditions.

It must be noted that, the phrase “all points and only those points” has dual meaning as follows:

1. All points of the locus satisfy the given condition.

2. All points satisfying the given locus conditions are included in the locus.

Calculation:

Step 1: Construct any arbitrary line AB.

Step 2: Bisect the line AB by joining the points C and D perpendicular to AB as shown in figure

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