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On (\mathbb{R}), (a*b=a+b-ab). Which element is the inverse of (2)?(\mathbb{R}) पर (a*b=a+b-ab) है। कौन-सा अवयव (2) का प्रतिलोम है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (2)(2)
Step 1: The identity for this operation is (0). Step 2: Put (2*b=0): (2+b-2b=0), so (2-b=0). Step 3: Thus (b=2); an inverse must combine with the element to give the identity.चरण 1: इस संक्रिया का तत्समक अवयव (0) है। चरण 2: (2*b=0) रखें, (2+b-2b=0) से (2-b=0)। चरण 3: (b=2); प्रतिलोम में उस अवयव के साथ संक्रिया करके तत्समक अवयव मिलना चाहिए।
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