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On (\mathbb{R}), (a*b=a+b+1). If (x*3=7), what is the value of (x)?समुच्चय (\mathbb{R}) पर (a*b=a+b+1) है। यदि (x*3=7), तो (x) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (3)(3)
Step 1: Put (a=x) and (b=3) in the given formula. Step 2: (x*3=x+3+1=7), so (x+4=7). Step 3: Hence (x=3); apply the definition directly in such calculations.चरण 1: दिए सूत्र में (a=x) और (b=3) रखें। चरण 2: (x*3=x+3+1=7), इसलिए (x+4=7)। चरण 3: अतः (x=3); ऐसी गणना में परिभाषा को सीधे लगाएँ।
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