JAMB Mathematics 2007 Objective — Question 31
Question 31 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2007 Objective paper, with the correct answer and a full explanation.
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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 perpendicular bisector of ST
- B. it is a straight line perpendicular to ST
- C. it is a semi-circle with ST as diameterCorrect
- D. it is a quadrant of a circle with ST as diameter
Explanation
Since the angle subtended at any point on the circumference by a diameter is constant (90 degrees), the locus of P is a semi-circle with ST as diameter.
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