Nigel read the following statements.

Statement 1: If two lines intersect, then they intersect in exactly one point.
Statement 2: If two distinct planes intersect, then they intersect in exactly one line.

Which of these options is correct?

Question

Nigel read the following statements.
 
Statement 1: If two lines intersect, then they intersect in exactly one point.
Statement 2: If two distinct planes intersect, then they intersect in exactly one line.
 
Which of these options is correct?

anonymous · Answer

Statement 2 is correct.  The word distinct is needed in Statement 1 to make it correct.  It is possible for two lines to be identical, in which case they intersect at infinitely many points.