Mathematics 2000 JAMB Past Questions - Question 31: If P and Q are fixed points and X is a point which moves so that XP=XQ ,the locus of X is

Correct Answer

B

Explanation

The locus of X is the perpendicular bisector of PQ.Since X is a point that moves so that XP = XQ, it means that X is equidistant from both P and Q. This implies that X lies on the perpendicular bisector of the line segment PQ.The perpendicular bisector of PQ is the line that passes through the midpoint of PQ and is perpendicular to PQ. Any point on this line will be equidistant from P and Q, satisfying the condition XP = XQ.Therefore, the locus of X is the perpendicular bisector of PQ.