A circle can have .............parallel tangents at the most.

Answer

To solve the question "A circle can have .............parallel tangents at the most," we need to analyze the properties of tangents to a circle.

### Step-by-Step Solution:

1. **Understanding Tangents**: A tangent to a circle is a line that touches the circle at exactly one point. For a line to be a tangent, it must not intersect the circle at any other point.

2. **Parallel Lines**: When we talk about parallel tangents, we are referring to lines that do not intersect each other and maintain a constant distance apart.

3. **Drawing the Circle**: Imagine a circle drawn on a plane.

4. **Identifying Tangents**: From any point outside the circle, you can draw two tangents to the circle. These tangents will touch the circle at two distinct points.

5. **Parallel Tangents**: If we want to find parallel tangents, we can draw two lines that are parallel to each other and tangent to the circle.

6. **Maximum Number of Parallel Tangents**: A circle can have at most **two parallel tangents**. This is because if you try to draw a third tangent that is parallel to the first two, it will intersect the circle at two points, which disqualifies it from being a tangent.

7. **Conclusion**: Therefore, the maximum number of parallel tangents that can be drawn to a circle is **two**.

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

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