Question

Classify the following curve as open or closed.

Answer 1

Hint: Here we have to classify the given curve as open or closed. We will use this definition of open and curve to analyze the given curve. Curves can be of any shape or size and also the end points of the curve can be open or joined.

Complete step-by-step answer:
Here we have to classify the given curve as open or closed.
We know that a curve is said to be an open curve when the curve doesn’t contain any area within itself and also it has two endpoints and the closed curve is defined as a curve which contains a certain area within itself and also it doesn’t have two endpoints.
We can see from the figure that the given curve has no two endpoints and the curve has a certain area of itself. So we can see that the given figure is satisfying the condition of the closed curve.
Hence, the given figure is a closed curve.

Note: Here we have determined the category of the given curve i.e. whether the given curve is an open curve or closed curve. So we need to know the definition and the condition for a curve to be open or closed. In other words, we can define a closed curve as a curve which is formed by joining the end points of the open curve. We need to keep in mind that the closed curve has no endpoints, this is the major mistake done by us while solving such problems.