Classify the following curves as (i) Open or (ii) Closed.
(a)

(b)

(c)

(d)

(e)
"

To do:

We have to classify the given curves as open or closed. 

Solution:

A closed curve is a curve with no endpoints and which completely encloses an area.

(a) The given curve has end points.

Therefore, the given figure is an open curve.

(b) The given curve has no endpoints.

Therefore, the given figure is a closed curve.

(c) The given curve has end points.

Therefore, the given figure is an open curve.

(d) The given curve has no endpoints.

Therefore, the given figure is a closed curve.

(e) A closed curve is a curve with no endpoints and which completely encloses an area.

The given curve has no endpoints.

Therefore, the given figure is a closed curve. 

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Updated on: 10-Oct-2022

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