Mathematics 2007 JAMB Past Questions - Question 43: A particle P moves between points S and T such that angle SPT is always constant .find the locus of p.

Correct Answer

A

Explanation

The locus of P is a semi -circle with ST as the diameter.The locus of point P can be determined by considering the given condition that angle SPT is always constant.Let's assume that the constant angle is α.To find the locus of point P, we need to determine all possible positions of P that satisfy the condition.Since angle SPT is constant, it means that the angle between the lines SP and TP remains constant.This implies that the locus of point P is the arc of a circle with its center at the intersection of lines SP and TP, and the angle between SP and TP is α.Therefore, the locus of point P is a circular arc with its center at the intersection of lines SP and TP, and the angle between SP and TP is α.