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On the set (A={1,2,3}), an operation (\ast) is defined by (a\ast b=a). Is it a binary operation?समुच्चय (A={1,2,3}) पर क्रिया (\ast) इस प्रकार है: (a\ast b=a)। क्या यह द्विआधारी क्रिया है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Yes, because the result is always in (A)हाँ, क्योंकि परिणाम हमेशा (A) में है
Step 1: For a binary operation, every result for (a,b\in A) must lie in (A). Step 2: Here (a\ast b=a), and (a) always belongs to (A). Step 3: In exams, first check closure of the result.चरण 1: द्विआधारी क्रिया में हर (a,b\in A) के लिए परिणाम फिर से (A) में होना चाहिए। चरण 2: यहां (a\ast b=a), और (a) हमेशा (A) का अवयव है। चरण 3: परीक्षा में परिणाम की बंदता पहले जांचें।
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