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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:
- Option A is incorrect.
- Option B is incorrect.
- C is incorrect.
- D is the correct answer.
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 /
