Define parallel lines.A) If two lines are such that they meet one another on producing from both the sides then they are said to be parallel to each other.B) If two lines are such that they meet one another on producing from one of the sides then they are said to be parallel to each other.C) If two lines are such that they never meet one another on producing from both the sides then they are said to be parallel to each other.D) None of these

The correct answer is:

C) If two lines are such that they never meet one another on producing from both the sides then they are said to be parallel to each other.

Explanation: Parallel lines are defined as two lines that never intersect, no matter how far they are extended in either direction. This means that the lines remain equidistant from each other at all points and do not meet even when extended infinitely in both directions.

The other options are incorrect because:

Option A suggests that the lines meet when extended in both directions, which contradicts the definition of parallel lines.
Option B suggests that the lines meet when extended in only one direction, which also does not describe parallel lines.
Option D is incorrect because option C correctly defines parallel lines.
Therefore, the correct choice is C.