Engineering Board Exam Reviewer · Distance Between Two Points · medium

Find the coordinates of a point equidistant from (1,-6), (5,-6) and (6,-1).

  1. (2,-2)
  2. (3,-2)
  3. (3,-3)
  4. (2,-3)

Answer

C. (3,-3)

Solution

Setting the distance from (x,y) to (1,-6) equal to the distance to (5,-6) gives x=3. Setting the distance to (1,-6) equal to the distance to (6,-1) and substituting x=3 gives y=-3. The point is (3,-3).

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