Class 11 Mathematics Relations and Functions Relations Expert Level 27

(\mathcal{P}(S)) पर relation (A,R,B) तभी जब \(A\subseteq B\)। यह relation किस प्रकार का है?

On (\mathcal{P}(S)), relation (A,R,B) if and only if \(A\subseteq B\). What type of relation is this?

Explanation opens after your attempt
Correct Answer

A. आंशिक क्रम संबंधPartial order relation

Step 1

Concept

Every \(A\subseteq A\), and the subset relation is antisymmetric and transitive. Do not treat it like equality because it is generally not symmetric.

Step 2

Why this answer is correct

The correct answer is A. आंशिक क्रम संबंध / Partial order relation. Every \(A\subseteq A\), and the subset relation is antisymmetric and transitive. Do not treat it like equality because it is generally not symmetric.

Step 3

Exam Tip

हर \(A\subseteq A\), और subset relation antisymmetric तथा transitive होता है। इसे equality जैसा नहीं मानें क्योंकि यह generally symmetric नहीं होता।

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(\mathcal{P}(S)) पर relation (A,R,B) तभी जब \(A\subseteq B\)। यह relation किस प्रकार का है? / On (\mathcal{P}(S)), relation (A,R,B) if and only if \(A\subseteq B\). What type of relation is this?

Correct Answer: A. आंशिक क्रम संबंध / Partial order relation. Explanation: हर \(A\subseteq A\), और subset relation antisymmetric तथा transitive होता है। इसे equality जैसा नहीं मानें क्योंकि यह generally symmetric नहीं होता। / Every \(A\subseteq A\), and the subset relation is antisymmetric and transitive. Do not treat it like equality because it is generally not symmetric.

Which concept should I revise for this Mathematics MCQ?

Every \(A\subseteq A\), and the subset relation is antisymmetric and transitive. Do not treat it like equality because it is generally not symmetric.

What exam hint can help solve this Mathematics question?

हर \(A\subseteq A\), और subset relation antisymmetric तथा transitive होता है। इसे equality जैसा नहीं मानें क्योंकि यह generally symmetric नहीं होता।