If A = {u,v}, which of the following is an element of P(A)?
Answer and explanation
Correct answer: {v}
A power set P(A) is the set of all subsets of A. Since {v} contains the element v and is a subset of A = {u,v}, it is an element of P(A). In contrast, u and v are individual elements, not sets of elements, and uv is not a subset notation for A. The complete power set is {∅, {u}, {v}, {u,v}}, confirming that option B is correct.
Frequently asked questions
What is the correct answer to this question?
{v}
Why is this the correct answer?
A power set P(A) is the set of all subsets of A. Since {v} contains the element v and is a subset of A = {u,v}, it is an element of P(A). In contrast, u and v are individual elements, not sets of elements, and uv is not a subset notation for A. The complete power set is {∅, {u}, {v}, {u,v}}, confirming that 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.
