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On real numbers, (a*b=a+b+ab) is defined. If (a*b=a), what is the value of (b), where (a\neq -1)?वास्तविक संख्याओं पर (a*b=a+b+ab) परिभाषित है। यदि (a*b=a), तो (b) का मान क्या होगा, जहाँ (a\neq -1)?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (0)(0)
Step 1: Write (a+b+ab=a). Step 2: (b+ab=0\Rightarrow b(1+a)=0). Since (a\neq -1), (b=0). Step 3: Such a question often hides the identity element condition.चरण 1: (a+b+ab=a) लिखें। चरण 2: (b+ab=0\Rightarrow b(1+a)=0)। क्योंकि (a\neq -1), इसलिए (b=0)। चरण 3: ऐसे प्रश्न में वास्तव में तत्समक अवयव की पहचान छिपी होती है।
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