Concept explainers
Find the locus of all the points in space of points that are 8 cm from l and 8 cm from R.
Answer to Problem 24CR
The locus of all the points in space of points that are 8 cm from l and 8 cm from R are two
Explanation of Solution
Given:
Point R is on line l .
Calculation:
The locus of all the points (in space) at a distance of 8 cm from point R is a shphere with center R and radius 8 cm.
The locus of all the points (in space) at a distance of 8 cm from line l is two parallel planes to the plane containing the line l and at a distance of 8 cm from the plane containing line l .
So, the locus of all the points in space that are 8 cm from l and 8 cm from R will be the intersection of above two cases. So, the locus are two circles at a distance of 8 cm from plane containing l and parallel to it .
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McDougal Littell Jurgensen Geometry: Student Edition Geometry
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