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प्रश्न
Express the truth of each of the following statements using Venn diagrams:
(a) No circles are polygons
(b) Some quadratic equations have equal roots
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उत्तर
(a) Let u: The set of closed geometrical figures in the plane.
Let A: The set of all polygons and
B: The set of all circles
Hence the following is the Venn diagram.
(b) Let u: The set of all equations.
Let A: The set of all quadratic equations and
B: The set of all quadratic, equations having equal roots.
Hence the following is the Venn d6agram.
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संबंधित प्रश्न
Draw appropriate Venn diagram for the following:
A' ∩ B'
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\[A \cup B\]
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:
\[A \cup C\]
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:
\[B \cup C\]
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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: \[B \cap C\]
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: \[C \cap D\]
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From the given diagram find :
(A ∪ B)'
Use the given Venn-diagram to find :
A
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A ∩ B
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(i) (A ∪ B) - C
(ii) B - (A ∩ C)
(iii) (B ∩ C) ∪ A
Verify :
A - (B ∩ C) = (A - B) ∪ (A - C)
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Draw Venn diagram for the following:
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