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Represent the truth of the following statement by the Venn diagram. No circles are polygons.

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प्रश्न

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

No circles are polygons.

योग
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उत्तर

Let U : The set of all closed geometrical figures in plane.
P : The set of all polygons
C : The set of all circles.

The above Venn diagram represents truth of the given statement, P ∩ C = φ

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अध्याय 1: Mathematical Logic - Exercise 1.10 [पृष्ठ २७]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
अध्याय 1 Mathematical Logic
Exercise 1.10 | Q 1.2 | पृष्ठ २७

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संबंधित प्रश्न

Draw appropriate Venn diagram for the following:

(A ∪ B)'


Draw Venn diagram for the truth of the following statements : 

Some rectangles are squares. 


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:

\[A \cup B\]

 


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: 

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


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: \[A \cap C\] 

 


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: \[C \cap D\]


U = {1, 2, 3, 7, 8, 9, 10, 11, 12}

P = {1, 3, 7, 10} then

  1. show the sets U, P and P' by the Venn diagram.
  2. Verify (P')' = P

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

A = {3, 4, 5, 7}  B = {1, 4, 8}


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

(a) No circles are polygons

(b) Some quadratic equations have equal roots 


From the given diagram find : 
A - B


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


Use the given diagram to find:

(i) A ∪ (B ∩ C)

(ii) B - (A - C)

(iii) A - B

(iv) A ∩ B'

Is A ∩ B' = A - B?


Use the given Venn-diagram to find :
B'


Use the given Venn-diagram to find :
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State the sets representing by the shaded portion of following venn-diagram :


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


In the given diagram, shade the region which represents the set given underneath the diagrams: (B - A)'


In the given diagram, shade the region which represents the set given underneath the diagrams: (A ∩ B)'


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


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


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

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Represent the following statement by the Venn diagram.

Some non-resident Indians are not rich.


Represent the following statement by the Venn diagram.

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Represent the following statement by the Venn diagram.

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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.

Some of the students study Mathematics but do not study English, some study English but do not study Mathematics, and some study both.


Draw Venn diagram for the following:

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