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If (R) is symmetric and transitive but not reflexive, is (R) an equivalence relation?यदि (R) सममित और संचारी है लेकिन स्वतः नहीं है तो क्या (R) तुल्यता संबंध होगा?
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Correct answer:सही उत्तर: Noनहीं
Step 1: An equivalence relation needs reflexive, symmetric, and transitive properties. Step 2: Here reflexivity is missing, so the condition is not satisfied. Step 3: Two properties are not enough; all three must be confirmed.चरण 1: तुल्यता संबंध के लिए स्वतः, सममित और संचारी तीनों गुण चाहिए। चरण 2: यहाँ स्वतः गुण नहीं है इसलिए शर्त पूरी नहीं होती। चरण 3: दो गुण पर्याप्त नहीं होते, तीनों की पुष्टि जरूरी है।
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