If A = {1,2}, which is a correct element of P(A)?
Answer and explanation
Correct answer: {1}
For A = {1,2}, the power set is P(A) = {∅, {1}, {2}, {1,2}}. A member of the power set must itself be a subset of A. The singleton set {1} is such a subset, so it is an element of P(A). The expression 1 is a number, not the set {1}; similarly, 2 and 3 are not suitable power-set elements in the listed form. Thus option B is correct.
Frequently asked questions
What is the correct answer to this question?
{1}
Why is this the correct answer?
For A = {1,2}, the power set is P(A) = {∅, {1}, {2}, {1,2}}. A member of the power set must itself be a subset of A. The singleton set {1} is such a subset, so it is an element of P(A). The expression 1 is a number, not the set {1}; similarly, 2 and 3 are not suitable power-set elements in the listed form. 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.
