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

  • A A straight line
  • B a circle
  • C the bisector of angle PXQ
  • D the perpendicular bisector of PQ
jamb 2000mathematics

The correct answer is D. the perpendicular bisector of PQ

The locus of points that are equidistant from two fixed points is the perpendicular bisector of the line segment connecting the two fixed points.

In this case, if P and Q are fixed points, and X is a point that moves so that XP = XQ, then the locus of X will be the perpendicular bisector of the line segment PQ.

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