Question

they lie in different planes but will intersect if a plane is drawn to contain both lines. they lie in different planes and will be parallel if a plane is drawn to contain both lines.

Explanation:

First, we analyze the nature of the lines (probably skew lines initially). When a plane is drawn to contain both lines, we check their relationship. Skew lines lie in different planes. If we create a plane with both, we see their direction: if they are parallel (like vertical lines in different planes, when a plane is formed, they maintain parallelism as they have the same slope/direction). The first option says they intersect, but parallel lines in a plane don't intersect. So the second option is correct as they lie in different planes (initially skew) and when a plane contains both, they are parallel.

Answer:

They lie in different planes and will be parallel if a plane is drawn to contain both lines.