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