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Class 10MathematicsSetsVenn DiagramsMediumLevel 15

If n(A ∪ B) = n(A) + n(B), what is the correct conclusion about A and B in a Venn diagram?

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Answer and explanation

Correct answer: A ∩ B = ∅ — A और B असंबद्ध हैं

For any two finite sets, n(A ∪ B) = n(A) + n(B) − n(A ∩ B). The given equality has no subtraction term, so n(A ∩ B) must be zero. Therefore, A and B have no common element; their circles do not overlap in the Venn diagram, and they are called disjoint sets.

Tags

setsvenn diagramsdisjoint setsunion and intersectionMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

A ∩ B = ∅ — A और B असंबद्ध हैं

Why is this the correct answer?

For any two finite sets, n(A ∪ B) = n(A) + n(B) − n(A ∩ B). The given equality has no subtraction term, so n(A ∩ B) must be zero. Therefore, A and B have no common element; their circles do not overlap in the Venn diagram, and they are called disjoint sets.

Which subject and chapter does this question cover?

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

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