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Subjects
Class 10MathematicsSetsPower Set and SubsetsHardLevel 10

Let A = {∅,{a},b}. Which of the following is an element of P(A)?

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Answer and explanation

Correct answer: {∅,{a}}

The elements of A are ∅, {a}, and b. A member of P(A) must be a set whose every element belongs to A. In option A, the elements are ∅ and {a}; both are elements of A, so {∅,{a}} is a subset of A and therefore belongs to P(A). The other choices contain elements not in A or are not subsets.

Tags

setspower-setnested-setssubsetsPower Set and SubsetsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{∅,{a}}

Why is this the correct answer?

The elements of A are ∅, {a}, and b. A member of P(A) must be a set whose every element belongs to A. In option A, the elements are ∅ and {a}; both are elements of A, so {∅,{a}} is a subset of A and therefore belongs to P(A). The other choices contain elements not in A or are not subsets.

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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