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If (R={(1,1),(2,2),(1,2)}), why is it not an equivalence relation?यदि (R={(1,1),(2,2),(1,2)}), तो यह समतुल्यता संबंध क्यों नहीं है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Because it is not symmetricक्योंकि यह सममित नहीं है
Step 1: Symmetry is necessary for an equivalence relation. Step 2: ((1,2)) is present but ((2,1)) is missing, so symmetry fails. Step 3: Do not forget to check all three properties for equivalence relation.चरण 1: समतुल्यता संबंध के लिए सममितता जरूरी है। चरण 2: ((1,2)) है लेकिन ((2,1)) नहीं है, इसलिए सममितता टूटती है। चरण 3: समतुल्यता संबंध में तीनों गुण जांचना न भूलें।
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