The maximum number of tangents that can be drawn to a circle from a point outside it is…………..

Answer

To determine the maximum number of tangents that can be drawn to a circle from a point outside it, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Circle and External Point**:
- Consider a circle with center \( C \) and a radius \( r \).
- Let \( P \) be a point located outside the circle.

2. **Drawing Tangents**:
- From point \( P \), we can draw lines that touch the circle at exactly one point. These lines are called tangents.
- The tangents will touch the circle at points \( T_1 \) and \( T_2 \).

3. **Identifying Tangent Lines**:
- There are two distinct lines that can be drawn from point \( P \) to the circle that will be tangential.
- One tangent will touch the circle at point \( T_1 \) and the other at point \( T_2 \).

4. **Conclusion**:
- Since we can only draw two tangents from point \( P \) to the circle, we conclude that the maximum number of tangents that can be drawn to a circle from a point outside it is **2**.

### Final Answer:
The maximum number of tangents that can be drawn to a circle from a point outside it is **2**.

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