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Draw appropriate Venn diagram for the following: A' ∩ B' - Mathematics

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प्रश्न

Draw appropriate Venn diagram for the following:

A' ∩ B'

आकृति
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उत्तर

A' ∩ B'

The shaded portion represents A' ∩ B'.

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अध्याय 1: Sets - Exercise 1.5 [पृष्ठ २०]

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एनसीईआरटी Mathematics [English] Class 11
अध्याय 1 Sets
Exercise 1.5 | Q 5.2 | पृष्ठ २०

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संबंधित प्रश्न

Express the truth of each of the following statements by Venn diagram:

(a) Some hardworking students are obedient.

(b) No circles are polygons.

(c) All teachers are scholars and scholars are teachers. 


Draw appropriate Venn diagram for the following:

(A ∪ B)'


If A = {1, 2, 3, 4, 5}, B = {4, 5, 6, 7, 8}, C = {7, 8, 9, 10, 11} and D = {10, 11, 12, 13, 14}, find\[B \cup D\]

 


If A = {1, 2, 3, 4, 5}, B = {4, 5, 6, 7, 8}, C = {7, 8, 9, 10, 11} and D = {10, 11, 12, 13, 14}, find: 

\[\left( A \cup D \right) \cap \left( B \cup C \right)\]


Let \[A = \left\{ x: x \in N \right\}, B = \left\{ x: x - 2n, n \in N \right\}, C = \left\{ x: x = 2n - 1, n \in N \right\}\] and D = {x : x is a prime natural number}. Find: \[A \cap D\]

 


Let \[A = \left\{ x: x \in N \right\}, B = \left\{ x: x - 2n, n \in N \right\}, C = \left\{ x: x = 2n - 1, n \in N \right\}\] and D = {x : x is a prime natural number}. Find: \[B \cap D\]


Let A = {3, 6, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16} and D = {5, 10, 15, 20}. Find: \[A - B\] 


Let A = {3, 6, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16} and D = {5, 10, 15, 20}. Find: \[A - C\] 


Let A = {3, 6, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16} and D = {5, 10, 15, 20}. Find: 

\[B - A\] 


Let A = {3, 6, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16} and D = {5, 10, 15, 20}.

Find: \[B - D\]


Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 4, 6, 8} and B = {2, 3, 5, 7}. Verify that \[\left( A \cup B \right)' = A' \cap B'\]


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P = {a, b, c, e, f} Q = {l, m, n, e, b}


Represent the union of two sets by Venn diagram for the following.

X = {x | x is a prime number between 80 and 100}

Y = {y | y is an odd number between 90 and 100}


Express the truth of each of the following statements using Venn diagrams: 

(a) No circles are polygons

(b) Some quadratic equations have equal roots 


Using the Venn diagram, examine the logical equivalence of the following statements: 

(a) Some politicians are actors.

(b) There are politicians who are actors.

(c) There are politicians who are not actors.


Express the truth of each of the following statements by Venn diagram :
(a) Some hardworking students are obedient.
(b) No circles are polygons.
(c) All teachers are scholars and scholars are teachers.


From the given diagram find : 
A ∪ B


From the given diagram find : 
(A ∪ B)'


From the given diagram, find: 
(i) A’ 
(ii) B’ 
(iii) A' ∪ B' 
(iv) (A ∩ B)'

Is A' ∪ B' = (A ∩ B)' ?

Also, verify if A' ∪ B' = (A ∩ B)'.


Use the given Venn-diagram to find :
A ∪ B


Draw a Venn-diagram to show the relationship between two overlapping sets A and B. Now shade the region representing :
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Draw a Venn-diagram to show the relationship between two overlapping sets A and B. Now shade the region representing :
B - A


Draw a Venn-diagram to show the relationship between two sets A and B; such that A ⊆ B, Now shade the region representing :
A ∪ B


Draw a Venn-diagram to show the relationship between two sets A and B; such that A ⊆ B, Now shade the region representing :
A ∩ B


Two sets A and B are such that A ∩ B = Φ. Draw a venn-diagram to show the relationship between A and B. Shade the region representing :
A ∪ B


Two sets A and B are such that A ∩ B = Φ. Draw a venn-diagram to show the relationship between A and B. Shade the region representing :
(A ∪ B)'


State the sets representing by the shaded portion of following venn-diagram :


Using the given diagram, express the following sets in the terms of A and B. {a, d}



Using the given diagram, express the following sets in the terms of A and B. {a, d, g, h}


Represent the truth of the following statement by the Venn diagram.

Some hardworking students are obedient.


Represent the truth of the following statement by the Venn diagram.

All teachers are scholars and scholars are teachers.


Draw a Venn diagram for the truth of the following statement.

Some share brokers are chartered accountants.


Draw a Venn diagram for the truth of the following statement.

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Represent the following statement by the Venn diagram.

No circle is rectangle.


Express the truth of the following statement by the Venn diagram.

All men are mortal.


Draw the Venn diagrams to illustrate the following relationship among sets E, M and U, where E is the set of students studying English in a school, M is the set of students studying Mathematics in the same school, U is the set of all students in that school.

Not all students study Mathematics, but every students studying English studies Mathematics.


Draw Venn diagram for the following:

No policeman is thief


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