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A particle p moves between points S and T such ... - JAMB Mathematics 2007 Question

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

A
it is a straight line perpendicular to ST.
B
it is a quadrant of a circle with ST as diameter
C
it is a perpendicular bisector of ST
D
it is a semi-circle with ST as diameter
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Correct Option: D

The locus of P is a semi-circle with ST as diameter.

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