In a Venn diagram, what does the common part of two circles represent?
Answer and explanation
Correct answer: A ∩ B
The common or overlapping region of two circles contains exactly those elements that belong to both A and B. This set is called the intersection and is written as A ∩ B. The union A ∪ B includes every region belonging to A or B, including the overlap. A − B contains elements only in A, not in B, and A′ contains elements outside A relative to U. Therefore the common part represents A ∩ B, option B.
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What is the correct answer to this question?
A ∩ B
Why is this the correct answer?
The common or overlapping region of two circles contains exactly those elements that belong to both A and B. This set is called the intersection and is written as A ∩ B. The union A ∪ B includes every region belonging to A or B, including the overlap. A − B contains elements only in A, not in B, and A′ contains elements outside A relative to U. Therefore the common part represents A ∩ B, option B.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.
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