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The locus of a point which moves so that it is…

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MATHS

The locus of a point which moves so that it is equidistance from two intersecting straight lines is the…

  • A. Perpendicular bisector of the two lines
  • B. Bisector of the two lines
  • C. Line parallel to the two lines
  • D. Angle bisector of the two lines

QUICK ANSWER…

D

SOLUTION 

If the two lines intersect, then the locus of a point with equal distance from the both lines will be an angle bisector passing through the point of intersection.

Now for the right answer to the above question:

  1. Option A is incorrect.
  2. Option B is incorrect.
  3. C is incorrect.
  4. D is the correct answer.
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KEY-POINTS…

You may please note these/this:

  • Assuming the lines do not intersect, that is if they are parallel, the locus of a point which is always of equal distance from both lines will be a line parallel and, in the middle(bisector) of both lines.
  • But in this case, it intersects, the locus will pass through the point of intersection and bisect (or equally divide) the angle of intersection.

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/culled from 2019 JAMB-UTME mathematics question 16 /

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