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In which option will (R^{-1}=R) be true?किस विकल्प में (R^{-1}=R) सत्य होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ({(1,2),(2,1),(3,3)})({(1,2),(2,1),(3,3)})
Step 1: (R^{-1}=R) holds exactly when the relation is symmetric. Step 2: In option A, both ((1,2)) and ((2,1)) are present, and ((3,3)) is its own reverse. Step 3: Convert inverse questions into symmetry checks.चरण 1: (R^{-1}=R) तभी होगा जब संबंध सममित हो। चरण 2: पहले विकल्प में ((1,2)) और ((2,1)) दोनों हैं, तथा ((3,3)) अपना ही उलटा है। चरण 3: प्रतिलोम वाले प्रश्न को सममितता की जाँच में बदल दें।
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