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Subjects
Class 10MathematicsSetsVenn DiagramsEasyLevel 14

The common region between two circles is the region of what?

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Answer and explanation

Correct answer: \(A\cap B\)

The part common to both circles contains exactly those elements that belong to A and also belong to B. This set is called the intersection and is written as \(A\cap B\). In contrast, \(A\cup B\) includes every element in either circle, while \(A-B\) contains elements only in A.

Tags

setsintersectionvenn-diagramsunionset-operationsVenn DiagramsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

\(A\cap B\)

Why is this the correct answer?

The part common to both circles contains exactly those elements that belong to A and also belong to B. This set is called the intersection and is written as \(A\cap B\). In contrast, \(A\cup B\) includes every element in either circle, while \(A-B\) contains elements only in A.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.

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10 more MCQs
  1. 1In a Venn diagram, what does the rectangle usually represent?
  2. 2In a Venn diagram, what does the common part of two circles represent?
  3. 3Which region does A ∪ B represent in a Venn diagram?
  4. 4Which region does A′ represent in a Venn diagram?
  5. 5If n(A) = 12, n(B) = 9, and n(A ∩ B) = 4, what is n(A ∪ B)?
  6. 6If \(A\) and \(B\) are disjoint sets, what is \(A\cap B\)?
  7. 7If \(A\subseteq B\), where will the circle representing \(A\) be placed in a Venn diagram?
  8. 8In a Venn diagram, how is the region containing elements only in \(A\) represented?
  9. 9If \(n(B-A)=8\) and \(n(A\cap B)=4\), what is \(n(B)\)?
  10. 10If \(n(A-B)=6\), \(n(A\cap B)=5\), and \(n(B-A)=4\), what is \(n(A\cup B)\)?
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