JAMB 2004 · UME · Q30

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

Worked solution (try it first)

Points 5 cm from a line can be on either side of it, so there are two lines, each parallel to $LM$ and 5 cm from it.
So the locus is a pair of lines on opposite sides of $LM$ , each 5 cm from it, option A.