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The locus of a point P which moves on one side only of a straight...

Mathematics
JAMB 2003

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

  • A. a circle
  • B. a semicircle
  • C. an arc of a circle through X, Y
  • D. the perpendicular bisector of XY
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Correct Answer: Option B
Explanation

The locus is the "semicircle with diameter XY" on the given side.

By Thales’ theorem, ∠XPY = 90° means P lies on the circle with diameter XY. “One side only” of line XY restricts it to a semicircle.

There is an explanation video available below.

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Explanation Video

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