Basic Geometrical Concepts (Exercise 10.3) RD Sharma Solutions | Mathematics for Class 6 PDF Download

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Exercise 10.3                                                                          page: 10.16 
1. Draw rough diagrams to illustrate the following: 
(i) Open curve 
(ii) Closed curve 
Solution: 
 
(i) Open curve 
 
 
(ii) Closed curve 
 
 
2. Classify the following curves as open or closed: 
 
Solution: 
 
(i) From the figure we know that it is an open curve. 
 
(ii) From the figure we know that it is a closed curve. 
 
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Exercise 10.3                                                                          page: 10.16 
1. Draw rough diagrams to illustrate the following: 
(i) Open curve 
(ii) Closed curve 
Solution: 
 
(i) Open curve 
 
 
(ii) Closed curve 
 
 
2. Classify the following curves as open or closed: 
 
Solution: 
 
(i) From the figure we know that it is an open curve. 
 
(ii) From the figure we know that it is a closed curve. 
 
 
 
 
 
 
 
(iii) From the figure we know that it is a closed curve. 
 
(iv) From the figure we know that it is an open curve. 
 
(v) From the figure we know that it is an open curve. 
 
(vi) From the figure we know that it is a closed curve. 
 
3. Draw a polygon and shade its interior. Also draw its diagonals, if any. 
Solution: 
 
We know that ABCD is a polygon which contains two diagonals AC and BD. 
 
 
4. Illustrate, if possible, each one of the following with a rough diagram: 
(i) A closed curve that is not a polygon. 
(ii) An open curve made up entirely of line segments. 
(iii) A polygon with two sides. 
Solution: 
 
(i) A closed curve that is not a polygon is a circle which has only a curve. 
 
 
(ii) An open curve made up entirely of line segments. 
 
 
(iii) A polygon with two sides is not possible.