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On real numbers, (a*b=a+b+\lambda ab). When will the inverse of (a) be undefined?वास्तविक संख्याओं पर (a*b=a+b+\lambda ab) है। (a) का प्रतिलोम कब परिभाषित नहीं होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: When (1+\lambda a=0)जब (1+\lambda a=0)
Step 1: The identity is (0). Step 2: (a*x=0\Rightarrow a+x+\lambda ax=0\Rightarrow x(1+\lambda a)=-a). If (1+\lambda a=0), (x) is not defined. Step 3: The most important check in inverse questions is whether the denominator becomes zero.चरण 1: तत्समक अवयव (0) है। चरण 2: (a*x=0\Rightarrow a+x+\lambda ax=0\Rightarrow x(1+\lambda a)=-a)। यदि (1+\lambda a=0), तो (x) नहीं निकलेगा। चरण 3: प्रतिलोम में हर की शून्यता सबसे महत्वपूर्ण जाँच है।
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