Question

Draw a rough diagram to illustrate the following.
Open curve.

Answer 1

Hint: To illustrate the open curve, first we need to understand what is a curve? And what is an open curve? Then we can draw a figure as an example which will be having two endpoints but do not meet with each other.

Complete step by step solution:
A curve is a continuous and smooth flowing line without any sharp turns. It can be recognized as a curve that it bends and changes its direction at least once.
A curve is a shape or a line which is smoothly drawn in a plane having a bent or turns in it. For example, a circle is a curved-shape.
Curves are classified into different categories. Open curve is one of them.
Curves whose endpoints do not meet each other and an open figure is known as an open curve. An open curve does not enclose any area within itself.
The open curves are the ones that are impossible for us to reach the starting point again if we were to follow the succession of points with a pencil, without lifting it from the paper.
Here is the example of open curve,

In this figure you can clearly see that A and B are the two points of a line which is not straight and has a bend which makes it a curve. Here you can see that A and B do not meet with each other which is an open figure which is also known as an open figure.

Note: Students may get confused between lines and a curve. They should know that a curve is made up of many small lines segments joined from end to end. If you look at a curve very closely you will see the lines.