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WAEC Mathematics 2006 Question 6

Question 6

Loci

P is a point on the same plane with a fixed point A. If P moves such that it is always equidistant from A, the locus of P is

  1. A.a straight line joining A and P
  2. B.the perpendicular bisector of AP
  3. C.a circle with centre A
  4. D.the triangle with centre P
Show the answer and explanation

Answer: C (a circle with centre A)

Explanation

All points at a fixed distance from one point form a circle with that point as centre.