Muft Shiksha
Update

Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है

Subjects
Class 10MathematicsSetsPower Set and SubsetsHardLevel 10

If A = {∅, {∅}}, which element must belong to P(A)?

Advertisement

Answer and explanation

Correct answer: {∅, {∅}}

The power set P(A) is the set of all subsets of A. Every set is a subset of itself, so A itself must be an element of P(A). Here A = {∅, {∅}}, where its two distinct elements are ∅ and {∅}. Therefore, the element {∅, {∅}} must occur in P(A), making option B correct.

Tags

setspower-setsubsetsnested-setsPower Set and SubsetsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{∅, {∅}}

Why is this the correct answer?

The power set P(A) is the set of all subsets of A. Every set is a subset of itself, so A itself must be an element of P(A). Here A = {∅, {∅}}, where its two distinct elements are ∅ and {∅}. Therefore, the element {∅, {∅}} must occur in P(A), making option B correct.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.

Report question
Advertisement