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Any line segment, no matter how short it is, has an infinite number of points.
An infinite set of points can be a microscopically small line segment. An infinite number of points does not mean an infinitely long line.
No, but is an infinite set of points.
CIRCLE
Any piece of a line has an infinite number of points on it, whether it's straight or curved. A line segment is a section of a line bounded by two endpoints. A line is continuous, but a line segment, is a segment of a line.