The minimum number of points of intersection of three lines in a plane is

Options

A. 1
B. 2
C. 3
D. 0

Answer

To determine the minimum number of points of intersection of three lines in a plane, we can analyze the possible arrangements of these lines.

### Step-by-Step Solution:

1. **Understanding Lines in a Plane**:
- A line in a plane can be defined as a straight path that extends infinitely in both directions.

2. **Considering the Arrangement of Lines**:
- When we have three lines, they can either intersect each other or be parallel.

3. **Case of Parallel Lines**:
- If all three lines are parallel to each other, they will never intersect. In this case, the number of intersection points is **zero**.

4. **Case of Intersecting Lines**:
- If at least one pair of lines intersects, then we can have points of intersection. However, we are looking for the minimum number of intersection points.

5. **Minimum Intersection**:
- The minimum occurs when all three lines are parallel. Therefore, the minimum number of points of intersection of three lines in a plane is **zero**.

6. **Conclusion**:
- The answer to the question is **zero**.

### Final Answer:
The minimum number of points of intersection of three lines in a plane is **zero**.

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