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प्रश्न
Represent the following statement by the Venn diagram.
No circle is rectangle.
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उत्तर
Let, U : The set of all geometrical figures.
C : The set of all circles.
R : The set of all rectangles.
The above Venn diagram represents the truth of the given statement i.e., C ∩ R = φ.
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संबंधित प्रश्न
Draw appropriate Venn diagram for the following:
(A ∪ B)'
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 and B are two set such that \[A \subset B\]then find:
\[A \cap B\]
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:
\[A \cup B\]
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:
\[\left( A \cap B \right) \cap \left( B \cap C \right)\]
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: \[C - A\]
Take the set of natural numbers from 1 to 20 as universal set and show set Y using Venn diagram.
Y = {y | y ∈ N, y is prime number from 1 to 20}
Express the truth of the following statements with the help of Venn diagram:
(a) No circles are polygon
(b) If a quadrilateral is rhombus , then it is a parallelogram .
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:
(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 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 - A
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 :
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
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
From the given diagram, find :
(i) (A ∪ B) - C
(ii) B - (A ∩ C)
(iii) (B ∩ C) ∪ A
Verify :
A - (B ∩ C) = (A - B) ∪ (A - C)
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.
If a quadrilateral is a rhombus, then it is a parallelogram.
Draw a Venn diagram for the truth of the following statement.
Some share brokers are chartered accountants.
Express the truth of the following statement by the Venn diagram.
All men are mortal.
Express the truth of the following statement by the Venn diagram.
Some persons are not politician.
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.
All the students who study Mathematics study English, but some students who study English do not study Mathematics.
Draw Venn diagram for the following:
No policeman is thief
