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JAMB Mathematics 2011 Question 31

Question 31

Loci

The perpendicular bisector of a line XY is the locus of a point

  1. A.whose distance from X is always twice its distance from Y
  2. B.whose distance from Y is always twice its distance from X
  3. C.which moves on the line XY
  4. D.which is equidistant from the points X and Y.
Show the answer and explanation

Answer: D (which is equidistant from the points X and Y.)

Explanation

Every point on the perpendicular bisector of XY is the same distance from X as from Y.