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JAMB Mathematics 1992 Question 31

Question 31

Loci

The locus of a point which is equidistant from two given fixed points is the

  1. A.perpendicular bisector of the straight line joining them.
  2. B.parallel line to the straight line joining them
  3. C.transverse to the straight line joining them
  4. D.angle bisector of 90° which the straight line joining them makes with the horizontal.
Show the answer and explanation

Answer: A (perpendicular bisector of the straight line joining them.)

Explanation

Every point the same distance from two fixed points lies on the perpendicular bisector of the line joining them.