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Geometric Locus

  1. Sep 15, 2014 #1
    The problem is: Let A, B and C be fixed points, and α,β,γ and κ are given constants, then the locus of a point P that satisfies the equation α(AP)2+β(BP)2+γ(CP)2=K, is a circunference. Prove it.

    I need at least some hint to answer it, I tried using the distance between two points formula but I only get a mess of variables that show me nothing.
     
  2. jcsd
  3. Sep 17, 2014 #2

    haruspex

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    I'm not familiar with the use of the word circumference to describe a locus. To me, it means the distance around a figure, not the shape of the figure. Please define how it is being used here.
     
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