If two circles touch each other internally, only _____ common tangent can be drawn to them.

Options

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

Answer

To solve the question of how many common tangents can be drawn to two circles that touch each other internally, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Configuration**:
- We have two circles, one larger and one smaller, where the smaller circle is inside the larger circle and they touch at one point. This is referred to as the circles touching each other internally.

2. **Define Common Tangents**:
- A common tangent is a straight line that touches both circles at exactly one point each.

3. **Analyze the Tangents**:
- When two circles touch each other internally, the only possible tangent that can be drawn is the one that touches the outer circle at a point and the inner circle at the same point.

4. **Visualize the Tangent**:
- If you visualize or draw the scenario, you will see that there is only one line that can touch both circles at their respective points of contact.

5. **Conclusion**:
- Therefore, when two circles touch each other internally, only **one** common tangent can be drawn to them.

### Final Answer:
Only **1** common tangent can be drawn to two circles that touch each other internally.

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