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JAMB Mathematics 2003 Question 31

Question 31

Loci

The locus of a point P which moves on one side only of a straight line XY so that ∠XPY = 90° is

  1. A.a circle
  2. B.a semicircle
  3. C.an arc of a circle through X, Y
  4. D.the perpendicular bisector of XY
Show the answer and explanation

Answer: B (a semicircle)

Explanation

The angle in a semicircle is 90°, so P lies on the semicircle with XY as diameter (one side only).