Which one of the following figures is an open curve ?

Options

A.
B.
C.
D.

Answer

To determine which figure is an open curve, we need to understand the definitions of open and closed curves.

### Step-by-Step Solution:

1. **Understand the Definitions**:
- **Closed Curve**: A closed curve is a curve where the starting and ending points meet, forming a complete loop without any gaps. Examples include circles, squares, and triangles.
- **Open Curve**: An open curve is a curve that does not form a complete loop; it has endpoints that do not connect. Examples include lines, arcs, and any shape that does not enclose an area.

2. **Analyze the Given Figures**:
- Look at each of the figures provided in the options.
- Identify whether the figures form a complete loop or if they have endpoints that do not connect.

3. **Identify the Open Curve**:
- From the analysis of the figures, determine which figure does not form a closed loop.
- If one of the figures has endpoints that do not connect, that figure is the open curve.

4. **Conclusion**:
- Based on the analysis, select the figure that is identified as the open curve.