Chapter 7.1, Problem 31E

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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 the midpoints of the radii of a sphere whose center is point

To determine

**To find:**

The locus of points that are the midpoints of the radii of a sphere whose center is point

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 appropriate scale and construct a circle of radius equivalent to

Step 2: Locate the point

Step 3: Draw a circle (dashed and red in colour) with

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