Question

Determine whether an inclusive Or" exclusive Or" is used in the following statement . Two lines in a plane either intersext at a point or are parallel.

Answer 1

Given statement: 'Two lines in a plane either intersect at a point or are parallel to each other'.

Here, the component statement of the given statement is:

p : Two lines in a plane intersect at a point.

q: Two lines in a plane are parallel.

Now, out of the given statement only one can occurs at a given point of time i.e., at any instant whether the two lines are parallel to each other or they will intersect which is the case of exactly one of the two alternatives i.e., 'Exclusive OR'.