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

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MATHS

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

  • A. Which moves on the line XY
  • B. Which is equidistant from the point X and Y
  • C. Whose distance from Y is always twice its distance from Y
  • D. Whose distance from X is always twice its distance from Y

QUICK ANSWER…

B

SOLUTION 

The line joining two points X and Y can be bisected at the middle so that another perpendicular line passing through this middle will always be of equal distance from both points. This line which will always be of equal distance from the two points is its locus.

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Now for the right answer to the above question:

  1. Option A is incorrect.
  2. Option B is correct.
  3. C is incorrect.
  4. D is not the correct answer.

QUICK TIPS…

You may please note these/this:

  • A line that is said to be perpendicular to another line is a line that makes an angle of 90 degree with it.

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/ culled from 2018 JAMB-UTME mathematics question 36 /

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