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On (A={0,1}), (a*b=|a-b|). What is its identity element?समुच्चय (A={0,1}) पर (a*b=|a-b|) है। इसका तत्समक अवयव क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (0)(0)
Step 1: (a*0=|a-0|=a) because (a) is only (0) or (1). Step 2: (0*a=|0-a|=a) also holds. Step 3: For small sets, check both directions.चरण 1: (a*0=|a-0|=a) क्योंकि (a) केवल (0) या (1) है। चरण 2: (0*a=|0-a|=a) भी सही है। चरण 3: छोटे समुच्चय में दोनों दिशा जाँचना जरूरी है।
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