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On real numbers, (a*b=a-b) is defined. Which property does this operation have?वास्तविक संख्याओं पर (a*b=a-b) परिभाषित है। यह संक्रिया कौन-सा गुण रखती है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Neither commutative nor associativeन क्रमविनिमेय न सहचारी
Step 1: (a*b=a-b) and (b*a=b-a), which are not equal in general. Step 2: ((a*b)*c=a-b-c) but (a*(b*c)=a-b+c), so it is not associative. Step 3: For subtraction-type operations, order matters a lot.चरण 1: (a*b=a-b) और (b*a=b-a), ये सामान्यतः बराबर नहीं होते। चरण 2: ((a*b)*c=a-b-c) जबकि (a*(b*c)=a-b+c), इसलिए सहचारी भी नहीं है। चरण 3: घटाव जैसी संक्रियाओं में क्रम पर विशेष ध्यान दें।
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