Where is A ∩ B ∩ C located in a Venn diagram of three sets?
Answer and explanation
Correct answer: In the common region of all three circles
The intersection A ∩ B ∩ C consists of elements that belong simultaneously to A, B, and C. In a three-set Venn diagram, this is the central region where all three circles overlap. It is not a part belonging to only one set and cannot lie outside the circles. Thus option C is correct.
Frequently asked questions
What is the correct answer to this question?
In the common region of all three circles
Why is this the correct answer?
The intersection A ∩ B ∩ C consists of elements that belong simultaneously to A, B, and C. In a three-set Venn diagram, this is the central region where all three circles overlap. It is not a part belonging to only one set and cannot lie outside the circles. Thus option C is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.
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