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WAEC Mathematics 1999 Question 46

Question 46

Loci

Describe the locus L shown in the diagram below.

Diagram for this question
  1. A.Locus of points equidistant from X and Y.
  2. B.Locus of points equidistant from X and Z
  3. C.Locus of points equidistant from ZX and ZY
  4. D.Locus of points equidistant from XY and ZY
Show the answer and explanation

Answer: C (Locus of points equidistant from ZX and ZY)

Explanation

L is the bisector of angle XZY, and every point on an angle bisector is the same distance from the two arms ZX and ZY.