Classify the following curves as open or closed:

Question:

Classify the following curves as open or closed:

Solution:

Open curve: A curve in which the beginning and end points are different or do not cut each other.

Closed curve: A curve in which the beginning and end points are the same and cut each other.

By the above definitions, we can classify the given figures as follows:

(i) Open curve

(ii) Closed curve

(iii) Closed curve

(iv) Open curve

(v) Open curve

(vi) Closed curve

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