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A particle P moves between points S and T such that angles SPT is always...

Mathematics
JAMB 2007

A particle P moves between points S and T such that angles SPT is always constant of ST constant. Find the locus of P

  • A. It is a semi circle with ST as diameter
  • B. It is a perpendicular bisector of St
  • C. It is a quadrant of a circle with ST as diameter
  • D. It is a straight line perpendicular to ST
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Correct Answer: Option A
Explanation

When a particle P moves such that the angle ∠SPT is constant while ST remains fixed, it traces a circular path. Specifically, the locus of P is a semicircle because points on the circle subtended by the line segment ST maintain that angle.

There is an explanation video available below.

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Explanation Video

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