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The Day of the Locus (Posted on 2006-12-07) Difficulty: 3 of 5
What is the locus of points that are exactly n times farther from P2 than from P1?

(P1 and P2 are two points in the x-y plane, and n is a positive real number)

See The Solution Submitted by Larry    
Rating: 4.0000 (1 votes)

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Some Thoughts Puzzle Thoughts Comment 3 of 3 |
the center of the circle is at c^2 / (c^2 - 1) and the radius is c/(c^2-1). Remember of course to scale up by the distance from P1 to P2.
  Posted by K Sengupta on 2023-02-13 21:47:38
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