passwella.
Menu

WAEC Mathematics 2013 Question 38

Question 38

Loci

What is the locus of the point X which moves relative to two fixed points P and M on a plane such that ∠PXM = 30°?

  1. A.The bisector of the straight line joining P and M
  2. B.An arc of a circle with PM as a chord
  3. C.The bisector of angle PXM
  4. D.A circle centre X and radius PM.
Show the answer and explanation

Answer: B (An arc of a circle with PM as a chord)

Explanation

All points from which PM is seen at the same angle lie on an arc of a circle through P and M (angles in the same segment are equal).