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Class 10MathematicsSetsPower Set and SubsetsMediumLevel 10

If A = {∅, 1}, which of the following is an element of P(A)?

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Answer and explanation

Correct answer: All of these

The power set P(A) is the set of all subsets of A. For A = {∅, 1}, the empty set ∅ is a subset, {∅} is a subset because ∅ belongs to A, and {1} is a subset because 1 belongs to A. Therefore all three listed sets are elements of P(A), so option D is correct. Notice that ∅ itself and {∅} are different sets.

Tags

setspower setsubsetsempty setPower Set and SubsetsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

All of these

Why is this the correct answer?

The power set P(A) is the set of all subsets of A. For A = {∅, 1}, the empty set ∅ is a subset, {∅} is a subset because ∅ belongs to A, and {1} is a subset because 1 belongs to A. Therefore all three listed sets are elements of P(A), so option D is correct. Notice that ∅ itself and {∅} are different sets.

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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