If A = {r, s, t, u}, which of the following is an element of P(A)?
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Answer and explanation
Correct answer: {r, t}
An element of P(A) must be a subset of A. Option B, {r,t}, contains only r and t, and both are elements of A, so it is a subset and therefore belongs to P(A). Option A is an element of A rather than a set of elements; options C and D contain v, which is not in A. Hence option B is correct.
Frequently asked questions
What is the correct answer to this question?
{r, t}
Why is this the correct answer?
An element of P(A) must be a subset of A. Option B, {r,t}, contains only r and t, and both are elements of A, so it is a subset and therefore belongs to P(A). Option A is an element of A rather than a set of elements; options C and D contain v, which is not in A. Hence 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.
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