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State Whether Of the Statement Are True Or False. If the Statement is False, Re-write the Given Statement Correctly:(Iii) If a = {1, 2}, B = {3, 4}, Then a × (B ∩ ϕ) = ϕ. - Mathematics

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MCQ
True or False

State whether of  the statement is true or false. If the statement is false, re-write the given statement correctly:

(iii) If A = {1, 2}, B = {3, 4}, then A × (B ∩ ϕ) = ϕ.

 

Options

  • True

  • False

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Solution

True
A = {1, 2} and B = {3, 4}
Now,
(B ∩ ϕ) = ϕ
The Cartesian product of any set and an empty set is an empty set.
∴ A × (B ∩ ϕ) = ϕ

Concept: Cartesian Product of Sets
  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 2 Relations
Exercise 2.1 | Q 13.3 | Page 8
NCERT Class 11 Mathematics
Chapter 2 Relations and Functions
Exercise 2.1 | Q 4.3 | Page 33

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