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UI Post-UTME Mathematics 2022 (Model questions) Question 5

Question 5

Loci

The locus of points equidistant from two points P and Q forms a

  1. A.circle with centre P
  2. B.pair of parallel lines each opposite to line PQ
  3. C.perpendicular line to PQ
  4. D.circle with centre Q
Show the answer and explanation

Answer: C (perpendicular line to PQ)

Explanation

Points equally far from P and Q lie on the perpendicular bisector of PQ, a line perpendicular to PQ.