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On (\mathbb{Z}), the operation (a*b=a+b+ab) is defined. Choose the correct statement.समुच्चय (\mathbb{Z}) पर संक्रिया (a*b=a+b+ab) दी है। सही कथन चुनिए।
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: It is a closed operationयह बंद संक्रिया है
Step 1: For closure, the result must again lie in (\mathbb{Z}). Step 2: In (a+b+ab), sums and products of integers remain integers. Step 3: In closure questions, focus only on the set of the result.चरण 1: बंदता के लिए परिणाम फिर (\mathbb{Z}) में होना चाहिए। चरण 2: (a+b+ab) में योग और गुणनफल दोनों पूर्णांक रहते हैं। चरण 3: बंदता जाँचते समय केवल परिणाम के समुच्चय पर ध्यान दें।
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