If A = {a, b}, which one is not an element of the power set of A?
Answer and explanation
Correct answer: {a, c}
The power set of A is the set of all subsets of A. For A = {a,b}, its power set is {∅, {a}, {b}, {a,b}}. Every member of a power set must contain only elements from the original set. The set {a,c} contains c, but c is not an element of A, so {a,c} is not a subset of A and cannot belong to its power set. Hence option D is correct.
Frequently asked questions
What is the correct answer to this question?
{a, c}
Why is this the correct answer?
The power set of A is the set of all subsets of A. For A = {a,b}, its power set is {∅, {a}, {b}, {a,b}}. Every member of a power set must contain only elements from the original set. The set {a,c} contains c, but c is not an element of A, so {a,c} is not a subset of A and cannot belong to its power set. Hence option D is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
