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If (R) is an equivalence relation and ([a]\neq[b]), which statement is correct?यदि (R) तुल्यता संबंध है और ([a]\neq[b]), तो कौन सा कथन सही है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ([a]\cap[b]=\varnothing)([a]\cap[b]=\varnothing)
Step 1: Equivalence classes are either equal or completely disjoint. Step 2: Since ([a]\neq[b]), they are not equal. Step 3: Hence their intersection is empty.चरण 1: तुल्यता वर्ग या तो समान होते हैं या पूरी तरह अलग। चरण 2: जब ([a]\neq[b]) है, तो वे समान नहीं हैं। चरण 3: इसलिए उनका प्रतिच्छेद रिक्त होगा।
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