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On (\mathbb{R}), (a*b=a+b+\lambda). For which (\lambda) will the identity be (5)?समुच्चय (\mathbb{R}) पर (a*b=a+b+\lambda) है। किस (\lambda) के लिए तत्समक (5) होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (-5)(-5)
Step 1: If (5) is the identity, then (a*5=a). Step 2: From (a+5+\lambda=a), we get (\lambda=-5). Step 3: When identity is given, substitute it directly into the identity condition.चरण 1: यदि (5) तत्समक है, तो (a*5=a)। चरण 2: (a+5+\lambda=a) से (\lambda=-5) मिलता है। चरण 3: जब तत्समक दिया हो, उसे सीधे शर्त में रखकर पैरामीटर निकालें।
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