are the same distance from two points...
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No. A line is the locus of all points located between any two points.
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.
The perpendicular bisector of the straight line joining the two points.
False, other geometric objects exist which can be defined as a parrticular locus of points, such as the parabola and the hyperbola.
A pair of parallel lines at a distance of 1 cm from the line Q.