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On real numbers, (a*b=a-b). Choose the correct statement about this operation.वास्तविक संख्याओं पर (a*b=a-b) है। इस संक्रिया के बारे में सही कथन चुनिए।
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: It is neither commutative nor associativeयह न क्रमविनिमेय है न साहचर्य
Step 1: (a-b) is generally not equal to (b-a), so it is not commutative. Step 2: ((a*b)*c=(a-b)-c), while (a*(b*c)=a-(b-c)=a-b+c), so it is not associative. Step 3: For subtraction-based operations, check both properties carefully.चरण 1: (a-b) सामान्यतः (b-a) के बराबर नहीं होता, इसलिए क्रमविनिमेय नहीं। चरण 2: ((a*b)*c=(a-b)-c), जबकि (a*(b*c)=a-(b-c)=a-b+c), इसलिए साहचर्य नहीं। चरण 3: घटाव पर आधारित संक्रिया में दोनों गुण सावधानी से जाँचें।
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