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Show that a locus of points is a hyperbola

by RoRi

Consider the set of points P such that the distance from P to the point (2,3) is equal to the sum of the distances from P to the two coordinate axes.

  1. Show that the part of this set of points lying in the first quadrant forms a hyperbola. Locate the asymptotes of this hyperbola and make a sketch.
  2. Sketch the set of points in the other quadrants.

Incomplete.

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