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MATHEMATICS

JAMB 2004 - Question 30

Mathematics 2004 JAMB Past Questions - Question 30: The locus of a point which is 5cm from the line LM is a

The locus of a point which is 5cm from the line LM is a

A: A pair of lines on opposite sides of LM

B: Line parallel to LM and 5cm from LM

C: pair of parallel lines on one side of LM and parallel to LM

D: Line distance 10cm from LM and parallel to LM.

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Correct Answer

Explanation

The locus of a point that is a fixed distance from a given line is a parallel line that is 5 cm away from the given line.In this case, the locus of a point that is 5 cm from the line LM is a parallel line to LM that is 5 cm away from LM.Let's call this parallel line LN. LN will be equidistant from all points on line LM, with a distance of 5 cm.Therefore, the locus of a point that is 5 cm from the line LM is the parallel line LN that is 5 cm away from LM.