If \(A\) and \(B\) are disjoint sets, what is \(A\cap B\)?
Answer and explanation
Correct answer: \(\varnothing\)
Two sets are called disjoint when they have no common elements. The intersection \(A\cap B\) represents the elements that belong to both \(A\) and \(B\). Since disjoint sets share no element, their intersection is the empty set: \(A\cap B=\varnothing\). In a Venn diagram, the two circles do not overlap. Hence option C is the only correct answer.
Frequently asked questions
What is the correct answer to this question?
\(\varnothing\)
Why is this the correct answer?
Two sets are called disjoint when they have no common elements. The intersection \(A\cap B\) represents the elements that belong to both \(A\) and \(B\). Since disjoint sets share no element, their intersection is the empty set: \(A\cap B=\varnothing\). In a Venn diagram, the two circles do not overlap. Hence option C is the only correct answer.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.
