What defines the locus of a single line?

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The correct answer focuses on the concept of locus in relation to a line in a geometric context. The locus of points can be defined as the set of all points that satisfy a particular condition. In this case, when considering a single line, the locus refers to every point that is equidistant from the line.

In the context of parallel lines, the locus consists of two lines that run parallel to the original line, positioned at equal distances on either side. These parallel lines represent the points that maintain a consistent distance from the original line, thus forming a clear and relatable locus definition in this scenario.

The reasoning behind this choice connects directly to the geometric properties of parallel lines in relation to a given line, making it a perfect illustration of how a locus can be defined in such cases. In conclusion, it's the nature of maintaining equal distances from the original reference point that leads to the conclusion regarding parallel lines as the correct interpretation of the locus in this question.

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