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JAMB Mathematics 1980 Question 16

Question 16

Loci

P and Q are fixed points and X is a variable point which moves so that angle PXQ = 45°. What is the locus of X?

  1. A.A pair of straight lines parallel to PQ
  2. B.The perpendicular bisector of PQ
  3. C.An arc of a circle passing through P and Q
  4. D.A circle with diameter PQ.
  5. E.The bisector of angle PXQ.
Show the answer and explanation

Answer: C (An arc of a circle passing through P and Q)

Explanation

Angles in the same segment of a circle are equal, so all points where PQ subtends 45° lie on an arc of a circle through P and Q.