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In (a*b=a+b+\lambda ab) on (\mathbb{R}), (\lambda=2). What is the inverse of (4)?(\mathbb{R}) पर (a*b=a+b+\lambda ab) में (\lambda=2) है। (4) का प्रतिलोम क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (-\frac{4}{9})(-\frac{4}{9})
Step 1: With (\lambda=2), (a*b=a+b+2ab). Step 2: From (4*b=0), (4+b+8b=0), so (4+9b=0). Step 3: (b=-\frac{4}{9}); substitute the parameter first to simplify the equation.चरण 1: (\lambda=2) रखने पर (a*b=a+b+2ab)। चरण 2: (4*b=0) से (4+b+8b=0), अर्थात (4+9b=0)। चरण 3: (b=-\frac{4}{9}); पैरामीटर का मान पहले रखकर समीकरण सरल करें।
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