Final answer:
The statement is true; through a point not on a given plane, one can draw an infinite number of lines parallel to that plane. The correct answer is option a) True.
Step-by-step explanation:
The statement is true. Imagine a point that is not on a given plane. You can draw a line through that point that is parallel to the plane. Because there's no restriction on the direction in which you draw this line, as long as it's parallel to the plane, you can draw infinitely many of such lines.
Each of these lines would maintain a constant distance from the plane, never touching or crossing it, no matter how far they are extended in both directions.