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JAMB Mathematics 1994 Question 34

Question 34

Loci

What is the locus of a point P which moves on one side of a straight line XY, so that the angle XPY is always equal to 90°?

  1. A.The perpendicular bisector of XY
  2. B.A right-angled triangle
  3. C.A circle
  4. D.A semi-circle
Show the answer and explanation

Answer: D (A semi-circle)

Explanation

The angle in a semicircle is 90°, so every point P with angle XPY = 90° lies on the circle with diameter XY. Staying on one side of XY gives a semicircle.