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Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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Section
BuyFindarrow_forward

Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Note: Exercises preceded by an asterisk are of a more challenging nature.

In Exercises 11 to 22, sketch and describe each locus in the plane.

Find the locus of points that are at a distance of 3 in. from a fixed point O.

To determine

To find:

The locus of points that are at a distance of 3 in. from a fixed point O.

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: Take any arbitrary point and label it as O.

Step 2: Take O as a reference point and locate multiple points (which are black in colour) with same distance (say 3 units as given)

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