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WAEC Mathematics 2009 Question 22

Question 22

Loci

If M and N are two fixed points in a plane, find the locus L = {P : PM = PN}.

  1. A.A line equal to MN
  2. B.A line parallel to MN
  3. C.Perpendicular bisector of MN
  4. D.A circle centre P, radius MN.
Show the answer and explanation

Answer: C (Perpendicular bisector of MN)

Explanation

Points equidistant from two fixed points lie on the perpendicular bisector of the line joining them.