Concept explainers
Describe the locus of points in space that are 4 cm from plane X and 8 cm from point J.
Answer to Problem 14CUR
The locus of points in space that are 4 cm from plane X and 8 cm from point J can be two
Explanation of Solution
Calculation:
If J is in the plane X , then the locus of the points 4 cm from plane X and 8 cm from point J are two circles .
If J is not in the plane X and has a perpendicular distance of less than (4 + 8 =) 12 cm from plane X , then the locus of the points 4 cm from plane X and 8 cm from point J is one circle .
If J is not in the plane X and has a perpendicular distance of 12 cm from plane X , then the locus of the points 4 cm from plane X and 8 cm from point J is a point .
If J is not in the plane X and has a perpendicular distance of more than 12 cm from plane X , then the locus of the points 4 cm from plane X and 8 cm from point J is no point .
So, the locus of points in space that are 4 cm from plane X and 8 cm from point J can be two circles, one circle, one point , or no point.
Chapter 10 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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