Q: What is the locus of points equidistant from two parallel lines?

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It is a line that is also parallel to them and exactly halfway between them.

It's another line, parallel to both of the first two and midway between them.

The locus of points equidistant from lines y = 0 and x = 3 is the line y = -x + 3.

Assume that all distances are measured along the appropriate perpendicular. There is no specific name for the locus since the locus can be two or one straight lines, depending upon the original two lines. If the two lines are intersecting then the locus is a pair of straight lines that bisect the two angles formed by the original lines. If the original two lines are parallel, then the locus is a line parallel to them and halfway between them.

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It is a line that is also parallel to them and exactly halfway between them.

It's another line, parallel to both of the first two and midway between them.

The locus of points equidistant from lines y = 0 and x = 3 is the line y = -x + 3.

Assume that all distances are measured along the appropriate perpendicular. There is no specific name for the locus since the locus can be two or one straight lines, depending upon the original two lines. If the two lines are intersecting then the locus is a pair of straight lines that bisect the two angles formed by the original lines. If the original two lines are parallel, then the locus is a line parallel to them and halfway between them.

A plane midway between the two given planes and parallel to them.

The perpendicular bisector of the line joining the two points.

circle

A locus of points is just the set of points satisfying a given condition. The locus of points equidistant from a point is a circle, since a circle is just a set of points which are all the same distance away from the center

Two parallel lines.

The locus of points at a given distance to a line would be a line parallel to the first line. Assuming that both lines are straight.

a straight line ..