If A = {1, 2}, which of the following is P(A), the power set of A?
Advertisement
Answer and explanation
Correct answer: {∅, {1}, {2}, {1, 2}}
The power set contains all subsets of A. For A = {1,2}, the subsets are the empty set ∅, the singleton sets {1} and {2}, and the set {1,2} itself. Therefore P(A) = {∅,{1},{2},{1,2}}. In a power set, each subset is an element, so writing 1 and 2 without braces is incorrect. Thus option B is correct.
Frequently asked questions
What is the correct answer to this question?
{∅, {1}, {2}, {1, 2}}
Why is this the correct answer?
The power set contains all subsets of A. For A = {1,2}, the subsets are the empty set ∅, the singleton sets {1} and {2}, and the set {1,2} itself. Therefore P(A) = {∅,{1},{2},{1,2}}. In a power set, each subset is an element, so writing 1 and 2 without braces is incorrect. Thus option B is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
Advertisement