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Class 10MathematicsSetsPower Set and SubsetsEasyLevel 10

In which case will A′ = ∅?

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Answer and explanation

Correct answer: When A = U

The complement A′ consists of the elements of the universal set U that are not in A. For the complement to be empty, there must be no element of U outside A. This happens exactly when A contains every element of U, meaning A = U. Therefore, A′ = ∅ when A = U, so option A is correct.

Tags

setscomplementuniversal setempty setPower Set and SubsetsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

When A = U

Why is this the correct answer?

The complement A′ consists of the elements of the universal set U that are not in A. For the complement to be empty, there must be no element of U outside A. This happens exactly when A contains every element of U, meaning A = U. Therefore, A′ = ∅ when A = U, so option A is correct.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.

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