If A=B, then in a Venn diagram, A∩B is equal to what?
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Answer and explanation
Correct answer: A
When A=B, both symbols refer to exactly the same set. Therefore A∩B=A∩A. By the idempotent law of intersection, X∩X=X, so A∩B=A. The empty set would result only for disjoint sets, and U or A′ cannot be selected without additional conditions. Thus option A is the only generally valid answer.
Frequently asked questions
What is the correct answer to this question?
A
Why is this the correct answer?
When A=B, both symbols refer to exactly the same set. Therefore A∩B=A∩A. By the idempotent law of intersection, X∩X=X, so A∩B=A. The empty set would result only for disjoint sets, and U or A′ cannot be selected without additional conditions. Thus option A is the only generally valid answer.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
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