Question

Explain why three coplanar lines may have zero, one, two, or three points of intersection?

Answer 1

If all three lines are parallel, there are zero points of intersection. If all three lines go through a point, there is one point of intersection. If two lines are parallel and the third one crosses them, there are two. If the three lines make a triangle, there are three points. Not unless they're collinear, in which case they intersect an infinite number of times.