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On real numbers, (a*b=a+b-3) is defined. Which statement is correct?वास्तविक संख्याओं पर (a*b=a+b-3) परिभाषित है। कौन सा कथन सही है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Identity is (3) and inverse of (a) is (6-a)तत्समक (3) है और (a) का प्रतिलोम (6-a) है
Step 1: (a*e=a\Rightarrow a+e-3=a), so (e=3). Step 2: (a*x=3\Rightarrow a+x-3=3\Rightarrow x=6-a). Step 3: In this type of operation, the subtracted constant becomes the identity.चरण 1: (a*e=a\Rightarrow a+e-3=a), इसलिए (e=3)। चरण 2: (a*x=3\Rightarrow a+x-3=3\Rightarrow x=6-a)। चरण 3: ऐसी क्रिया में घटाई गई संख्या ही तत्समक बनती है।
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