MATHEMATICS

JAMB 2005 - Question 31

Mathematics 2005 JAMB Past Questions - Question 31: Two lines PQ and ST intersect at 75.The locus of points equidistant from PQ and ST lies on the .

Two lines PQ and ST intersect at 75.The locus of points equidistant from PQ and ST lies on the .
A:
B:
C:
D:
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Correct Answer

C

Explanation

The locus of points equidistant from lines PQ and ST lies on the perpendicular bisector of the line segment joining the points of intersection of PQ and ST.In other words, the locus of points will be a line that is equidistant from both lines PQ and ST and passes through the midpoint of the line segment joining the points of intersection.This can be visualized as a line that cuts the angle formed by PQ and ST into two equal parts and is equidistant from both lines.Please note that without additional information about the specific positions or orientations of lines PQ and ST, it is not possible to determine the exact equation or position of the locus of points.

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