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WAEC Mathematics 2004 Question 43

Question 43

Loci

The locus of a point which moves in a plane such that it is equidistant from two fixed points X and Y is

  1. A.the perpendicular bisector of the line segment XY
  2. B.a line parallel to the line segment XY
  3. C.a circle with XY as diameter
  4. D.the line perpendicular to the line segement XY
Show the answer and explanation

Answer: A (the perpendicular bisector of the line segment XY)

Explanation

Every point the same distance from X and Y lies on the perpendicular bisector of XY.