Two distinct lines in a plane can have either 0 or 1 common point. If the lines are parallel and not the same line, they never meet, so they have no common point (0).

If the lines intersect, they meet at exactly one point, so they have one common point (1).

So, the answer to “how many common points do two distinct lines have” is:

  • They can have 0 or 1 common point, but never more than 1.

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