How many parallel tangents can a circle have ?

Options

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

Answer

To determine how many parallel tangents a circle can have, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Tangents**: A tangent to a circle is a straight line that touches the circle at exactly one point. This means it does not cross the circle at any other point.

2. **Visualizing the Circle**: Imagine a circle drawn on a plane. You can visualize it as a simple round shape.

3. **Drawing Tangents**: For any point on the circumference of the circle, you can draw a tangent line. Each point on the circle can have its own unique tangent line.

4. **Identifying Parallel Tangents**: For two lines to be parallel, they must never intersect, which means they must maintain the same distance apart at all points.

5. **Finding Parallel Tangents**: A circle can have two tangents that are parallel to each other. These tangents will be on opposite sides of the circle, and they will touch the circle at two distinct points.

6. **Conclusion**: Therefore, the maximum number of parallel tangents that a circle can have is **two**.

### Final Answer:
A circle can have **two parallel tangents**.

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