Write (T) for True and (F) for false:
(iv) A sphere has one edge.

Answer

To determine whether the statement "A sphere has one edge" is true or false, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Definition of a Sphere**:
- A sphere is a three-dimensional shape that is perfectly round and symmetrical. It is defined as the set of all points in space that are equidistant from a fixed point known as the center.

2. **Identify the Characteristics of a Sphere**:
- A sphere has a smooth, curved surface with no flat faces or edges. It is similar to a ball in shape.

3. **Analyze the Statement**:
- The statement claims that a sphere has one edge.

4. **Evaluate the Statement**:
- Since a sphere is completely round and does not have any edges (which are straight line segments where two faces meet), the statement is incorrect.

5. **Conclusion**:
- Therefore, the statement "A sphere has one edge" is false.

### Final Answer:
(F) False

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