The graph shows two red circles with centers (1, 0) and (1, 0) and radii 3 and
Question:
The graph shows two red circles with centers (–1, 0) and (1, 0) and radii 3 and 5, respectively. Consider the collection of all circles tangent to both of these circles. (Some of these are shown in blue.) Show that the centers of all such circles lie on an ellipse with foci (±1, 0). Find an equation of this ellipse.
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Let C be the center of a circle gray with radius r that is tangent ...View the full answer
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Related Book For 
Calculus Early Transcendentals
ISBN: 9781337613927
9th Edition
Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin
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