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On (\mathbb{R}), (a*b=a+b-ab). When will (a*b=1)?समुच्चय (\mathbb{R}) पर (a*b=a+b-ab) है। (a*b=1) कब होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: When (a=1) or (b=1)जब (a=1) या (b=1)
Step 1: Write (a+b-ab=1) as (1-a-b+ab=0). Step 2: This factors as ((1-a)(1-b)=0). Step 3: Hence (a=1) or (b=1); factoring saves time in such problems.चरण 1: (a+b-ab=1) को (1-a-b+ab=0) लिखें। चरण 2: यह ((1-a)(1-b)=0) बनता है। चरण 3: इसलिए (a=1) या (b=1); ऐसे गुणनखंड बनाना परीक्षा में समय बचाता है।
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