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On integers, (a*b=a+b-1). Which is the inverse of (a)?पूर्णांकों पर (a*b=a+b-1) है। (a) का प्रतिलोम कौन सा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (2-a)(2-a)
Step 1: The identity is (1). Step 2: (a*x=1\Rightarrow a+x-1=1\Rightarrow x=2-a). Step 3: Inverse is always found with respect to the identity element.चरण 1: तत्समक अवयव (1) है। चरण 2: (a*x=1\Rightarrow a+x-1=1\Rightarrow x=2-a)। चरण 3: प्रतिलोम हमेशा तत्समक अवयव के आधार पर निकाला जाता है।
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