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Chapter 4 Basic Geometrical Ideas Ex 4.2 Solutions

Question - 1 : - Classify the following curves as (i) open or (ii) closed.

Answer - 1 : -

(a) Open curve
(b) Closed curve
(c) Open curve
(d) Closed curve

Question - 2 : -
Draw rough diagrams to illustrate the following:
(a) Open curve
(b) Closed curve

Answer - 2 : -

Question - 3 : -
Draw any polygon and shade

Answer - 3 : -

ABCD is the required polygon whose interior region is shaded.

Question - 4 : -
Consider the given figure and answer the questions.
(a) Is it a curve?
(b) Is it closed?

Answer - 4 : -

(a) Yes, it is a curve.
(b) Yes, it is closed curve.

Question - 5 : -
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.

Answer - 5 : -

(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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