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Concept explainers
To explain: The locus of the centers of all
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Answer to Problem 10CUR
The locus of the centers of all circles tangent to each of two given parallel lines is a straight line.
Explanation of Solution
As the circle is tangent to each of two given parallel lines is in between both the lines.
Consider the circles of same nature with different centers. The centers of all the circles lie on the same line and are tangent to both the parallel lines.
Therefore, the locus of the centers of all circles tangent to each of two given parallel lines is a straight line.
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McDougal Littell Jurgensen Geometry: Student Edition Geometry
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- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning
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