Question

Draw rough diagrams to illustrate the following:
A) Open curve
B) Closed curve

Answer 1

Hint:
Here we have to explain the following terms using a rough diagram. We will first draw the open curve such that the initial and the end point are at different positions or it does not overlap. Then we will draw the closed such that the initial and the end points of the curve are the same or the position of the initial and the end points are the same.

Complete step by step solution:
First, we will define the term open curve. An open curve is a curve in which the initial point of a curve and end point of a curve do not overlap or we can say the position of the initial and the end point of an open curve is different.
Now we will draw the rough diagram of an open curve to understand it properly.

Here we can clearly see from the diagram of an open curve that the initial point and the end point are at different positions.
Some common examples of an open curve are:- parabola, hyperbola, etc.
Now, we will define the term closed curve. A closed curve is a curve in which the initial point of a curve and end point of a curve overlap or we can say the position of the initial and the end point of an open curve are the same.
We will draw the rough diagram of a closed curve now to understand it properly.

Some common examples of a closed curve are: ellipse, circle etc.

Note:
A closed curve need not to be always a curve that means a square, triangle, rectangle, pentagon, heptagon all come under the category of closed curves. There is no end point of the closed curve and it is drawn on a plane or flat surface. We can draw a closed without lifting your pencil and we end at the point we begin.