Which of the following is an example of an open curve?

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Circle

Triangle

A line segment

Pentagon

answer is C.

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Detailed Solution

Here, we need to find which of the following is an example of an open curve.
Consider the following options:
In option 1:
Circle,
Question Image

We can clearly see that, it is a closed curve.
Hence, option 1 is incorrect.
In option 2:
Triangle
Question Image

We can clearly see that, it is a closed curve.
Hence, option 2 is incorrect.
In option 3:
Line segment,
Question Image

We can clearly see that the line segment is not a closed curve. It is an open curve.
Hence, option 3 is correct.
In option 4:
Pentagon,
Question Image

We can clearly see that, it is a closed curve.
Hence, option 4 is incorrect.
As the line segment has two end points, so it is an open curve.
Therefore, 3 is the correct answer.

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