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 SubsetsEasyLevel 9

If A = {1, 2}, which statement is correct?

Advertisement

Answer and explanation

Correct answer: {1} ⊆ A and {1} ∈ P(A)

The set {1} is a subset of A because its only element, 1, belongs to A. Every subset of A is an element of the power set P(A), so {1} also belongs to P(A). In contrast, 1 is an element of A, not a subset of A, and {3} is not a subset because 3 is not in A. Hence option A is correct.

Tags

setspower setsubset membershipset notationPower Set and SubsetsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{1} ⊆ A and {1} ∈ P(A)

Why is this the correct answer?

The set {1} is a subset of A because its only element, 1, belongs to A. Every subset of A is an element of the power set P(A), so {1} also belongs to P(A). In contrast, 1 is an element of A, not a subset of A, and {3} is not a subset because 3 is not in A. Hence option A is 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