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Learn Exercise 4.2 with Free Lessons & Tips

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

(a) Open

(b) Closed

(c) Open

(d) Closed

(e) Closed

Comments

Draw rough diagrams to illustrate the following:

(a) Open curve (b) Closed curve.

(a) Open curve

(b) Closed curve

 

Comments

Draw any polygon and shade its interior.

 

Comments

Consider the given figure and answer the questions:

(a) Is it a curve? (b) Is it closed?

(a) Yes

(b) Yes

Comments

Illustrate, if possible, each one of the following with a rough diagram:

(a) A closed curve that is not a polygon.

(b) An open curve made up entirely of line segments.

(c) A polygon with two sides.

(a)

(b)

(c) This is not possible as the polygon having the least number of sides is a triangle, which has three sides in it.

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