Question

Two distinct lines in a plane.................
A. always intersect
B. always either intersects or are parallel
C. always has two common points
D. none of these

Answer 1

Hint – In order to solve this problem, draw a rough diagram and think of all the possible conditions when two distinct lines lie in a plane.

Complete step-by-step answer:
The figure for this problem can be drawn as:

So, there are two figures (1) and (2) in which ABCD and EFGH are the planes and the two distinct lines are drawn. We can notice that there are only two possible conditions when two distinct lines lie in the plane and that is either they are parallel or intersecting.
So, the correct option is B.

Note – In this problem we need to consider all the possible conditions when the two distinct lines lie in the plane. Students may forget that we have to use two distinct lines. If we don't consider this condition we will get the wrong solution.