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On real numbers, (a*b=a+b+2ab) is defined. What is the inverse of (1)?वास्तविक संख्याओं पर (a*b=a+b+2ab) है। (1) का प्रतिलोम क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (-\frac{1}{3})(-\frac{1}{3})
Step 1: The identity for this operation is (0). Step 2: Put (1*b=0), so (1+b+2b=0). Step 3: (1+3b=0), hence (b=-\frac{1}{3}).चरण 1: इस संक्रिया का तत्समक (0) है। चरण 2: (1*b=0) रखने पर (1+b+2b=0) मिलता है। चरण 3: (1+3b=0), इसलिए (b=-\frac{1}{3})।
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