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BITSAT 2012
Exam
BITSAT
Year
2012
Subject
Mathematics
Chapter
Sets and Relations

BITSAT 2012 · Mathematics · Sets and Relations

Let A and B be two sets then ( A B ) (A^ B) is equal to

Let A and B be two sets then ((\mathrm{A}∪\cup\mathrm{B}$) \cup \left(\mathrm{A}^{\prime} \cap \mathrm{B}\right) is equal to

Options

  1. AA′\mathrm{A}^{\prime}
  2. BA\mathrm{A}
  3. CB'
  4. DNone of these

Correct answer

A. A′\mathrm{A}^{\prime}

Step-by-step solution

 From Venn-Euler’s Diagram. ∴(A∪B)′∪(A′∩B)=\text{ From Venn-Euler's Diagram. } \therefore(\mathrm{A} \cup \mathrm{B})^{\prime} \cup\left(\mathrm{A}^{\prime} \cap \mathrm{B}\right)=A′\mathrm{A}^{\prime}
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