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Inversion Distance II (Posted on 2007-03-29) Difficulty: 2 of 5
Given two non-intersecting circles of radii a and b (with centers A and B respectively) with c the distance between their centers.

1) Prove that there always exists two points (say P and Q) such that each can be used as a center of inversion that maps the non-intersecting circles into concentric circles.

2) Give the distance between P and Q in terms of a, b, and c.

See The Solution Submitted by Bractals    
Rating: 1.5000 (4 votes)

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