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

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QuizTablet Community! ## 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

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.

## KEY-POINTS…

• 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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