if P and Q are fixed points and X is a point which moves so that XP = XQ, the locus of X is

Assessment: JAMB UTME - Mathematics - 2000 Subject: General Mathematics

Question 1 Report

if P and Q are fixed points and X is a point which moves so that XP = XQ, the locus of X is
Answer Details
Given two fixed points P and Q, the locus of points X which are equidistant from P and Q is the perpendicular bisector of PQ. This is because any point on the perpendicular bisector of PQ will be equidistant from both P and Q by definition. Therefore, if X is a point which moves so that XP = XQ, it must lie on the perpendicular bisector of PQ. Therefore, the correct answer is "the perpendicular bisector of PQ".

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