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Which of the following is an example of ...

Which of the following is an example of closed curve?

A

B

C

D

Text Solution

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The correct Answer is:
To determine which of the given options is an example of a closed curve, we need to understand what a closed curve is. A closed curve is a shape where the starting point and the endpoint are the same, creating a complete boundary without any openings. ### Step-by-Step Solution: 1. **Understand the Definition of Closed Curve**: - A closed curve is a shape that completely encloses an area without any gaps or openings. **Hint**: Remember that a closed curve must connect back to its starting point. 2. **Evaluate the First Option**: - The first option is an open curve. It does not connect back to the starting point, meaning it has an opening. **Hint**: Look for any breaks or openings in the curve. 3. **Evaluate the Second Option**: - The second option appears to be open at one end. Since it does not form a complete loop, it is not a closed curve. **Hint**: Check if both ends of the curve meet; if not, it is open. 4. **Evaluate the Third Option**: - The third option is also an open curve. Similar to the previous options, it does not form a closed boundary. **Hint**: Again, look for any gaps in the shape. 5. **Evaluate the Fourth Option**: - The fourth option is a triangle. A triangle has three sides and three angles, and it completely encloses an area with no openings. **Hint**: A triangle connects all its vertices, forming a closed shape. 6. **Conclusion**: - Based on the evaluations, the only option that is a closed curve is the fourth option, which is a triangle. ### Final Answer: The correct answer is **Option 4: Triangle**.
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