Which of the following statements are true and which are false ?
Two lines are parallel if they do not meet, even when produced.

Options

A. No
B. Yes
C. None
D. Both

Answer

To determine whether the statement "Two lines are parallel if they do not meet, even when produced" is true or false, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Parallel Lines**:
- Parallel lines are defined as lines in a plane that never meet or intersect, no matter how far they are extended in either direction.

2. **Visual Representation**:
- Draw two lines on paper. For example, draw one horizontal line and one diagonal line that runs parallel to the horizontal line.

3. **Analyzing the Statement**:
- The statement claims that if two lines do not meet, even when extended, then they are parallel.

4. **Testing the Definition**:
- Extend both lines in your drawing. Observe that they continue to remain the same distance apart and do not intersect.

5. **Conclusion**:
- Since the definition of parallel lines states that they do not intersect at any point, the statement is indeed true.

### Final Answer:
- The statement "Two lines are parallel if they do not meet, even when produced" is **True**.