How many lines can be drawn passing through two given points ?

Options

A. One only
B. Two
C. Three
D. Unlimited number

Answer

To solve the question "How many lines can be drawn passing through two given points?", we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Points**:
- We start by recognizing what a point is in geometry. A point is a specific location in space that has no dimensions (length, width, or height).

2. **Identifying Two Points**:
- Let's denote the two given points as Point A and Point B.

3. **Drawing a Line**:
- A line is defined as a straight path that extends infinitely in both directions. It is determined by two distinct points.

4. **Connecting the Points**:
- When we connect Point A and Point B with a straight line, we can visualize that there is a unique straight path that can be drawn between these two points.

5. **Analyzing Other Lines**:
- If we consider any other line that passes through Point A, it would not be able to pass through Point B unless it is the same line we just drew. Therefore, there cannot be another distinct line that connects both points.

6. **Conclusion**:
- Since there is only one unique line that can be drawn through two distinct points, the answer to the question is that only one line can be drawn passing through two given points.

### Final Answer:
- The answer is **Option A: only one**.

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