Define the terms:

Question:

Define the terms:

(i) Open curve

(ii) Closed curve

(iii) Simple closed curve

Solution:

(i) Open curve: An open curve is a curve where the beginning and end points are different.

Example:     Parabola

(ii) Closed Curve: A curve that joins up so there are no end points.
Example: Ellipse

(iii) Simple closed curve:  A closed curve that does not intersect itself.

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