Circle Cı has centre (-2, 5) and radius 7. Circle C2 has centre (12, 5). a Given that the two circles are tangent to each other, find the two possible values for the radius of C2. b Given instead that the radius of C2 is 16, find the coordinates of the intersection points of C1 and C2.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 31E
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Circle C1 has centre (-2, 5) and radius 7. Circle C2 has centre (12, 5).
a
Given that the two circles are tangent to each other, find the two possible values for the radius of C2.
Given instead that the radius of C2 is 16, find the coordinates of the intersection points of C1 and C2.
Transcribed Image Text:Circle C1 has centre (-2, 5) and radius 7. Circle C2 has centre (12, 5). a Given that the two circles are tangent to each other, find the two possible values for the radius of C2. Given instead that the radius of C2 is 16, find the coordinates of the intersection points of C1 and C2.
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