Question

Which of the following contain an infinite number of points?

• A. line
• B. line segment
• C. point
• D. None of the above.

Answer 1

Answer: (A), (B), (C)

The correct options are
A line
B line segment
C point

A line has infinite length, so it also contains an infinite number of points.
A point, by definition, should contain only one point. However, when we zoom into a point, it will look like this:
This can contain an infinite number of points, because each point, when zoomed into, will look like a circle full of points.
A line segment has a fixed length. However, if we keep zooming into the line segment, we will discover more and more points along its length.
So, a point, line segment and line are all made of infinite points.