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JAMB Mathematics 2000 Question 31

Question 31

Loci

If P and Q are fixed points and X is a point which moves so that XP = XQ, the locus of X is

  1. A.a straight line
  2. B.a circle
  3. C.the bisector of ∠PXQ
  4. D.the perpendicular bisector of PQ
Show the answer and explanation

Answer: D (the perpendicular bisector of PQ)

Explanation

Points that are the same distance from two fixed points lie on the perpendicular bisector of the line joining them.