In a Venn diagram, what is A∩A′ equal to?
Answer and explanation
Correct answer: ∅
The complement A′ consists of elements in the universal set U that are not in A. Consequently, no element can belong to both A and A′ at the same time. Their common region in a Venn diagram is empty, so A∩A′=∅. Option A or A′ represents one whole region, while U represents the complete universal set, not the intersection. Therefore option C is correct.
Frequently asked questions
What is the correct answer to this question?
∅
Why is this the correct answer?
The complement A′ consists of elements in the universal set U that are not in A. Consequently, no element can belong to both A and A′ at the same time. Their common region in a Venn diagram is empty, so A∩A′=∅. Option A or A′ represents one whole region, while U represents the complete universal set, not the intersection. Therefore option C is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Complement of a Set and Its Properties.
