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WAEC Mathematics 2004 Question 45

Question 45

Loci

Which of the following is/are true? In a plane, the locus of points I. Equidistant from a straight line is a circle radius d where d is the distance between the point and the straight line. II Equidistant from two given points P and Q is a circle of radius |PQ|. III Equidistant from two points is the perpendicular bisector of the line joining the two points.

  1. A.I only
  2. B.II only
  3. C.III only
  4. D.I, II and III
Show the answer and explanation

Answer: C (III only)

Explanation

Points a fixed distance from a line form two parallel lines, not a circle, and statement II is false; only III is true.