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WAEC Mathematics 1995 Question 39

Question 39

Loci

The locus of a point which is equidistant from two given fixed points is the

  1. A.perpendicular bisector of the straight line joining them
  2. B.angle bisector of the straight lines joining the points to the origin
  3. C.perpendicular to the straight line joining them
  4. D.parallel line to the straight line joining them
  5. E.a line making an acute angle with the line joining the two points.
Show the answer and explanation

Answer: A (perpendicular bisector of the straight line joining them)

Explanation

Every point equally far from two fixed points lies on the perpendicular bisector of the line joining them.