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If (A={0,1,2,3}) and (R={(a,b):a^2=b^2}), which statement about (R) is correct?यदि (A={0,1,2,3}) और (R={(a,b):a^2=b^2}) है, तो (R) के बारे में सही कथन कौन-सा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: It is reflexiveप्रतिवर्ती है
Step 1: Check ((a,a)) for every (a\in A). Step 2: Since (a^2=a^2) for every element, all diagonal pairs belong to (R). Step 3: Equality-based conditions usually contain all diagonal pairs.चरण 1: हर (a\in A) के लिए ((a,a)) जांचें। चरण 2: (a^2=a^2) हर तत्व के लिए सत्य है, इसलिए ((a,a)\in R) है। चरण 3: समानता वाले संबंधों में विकर्ण युग्म सामान्यतः सुरक्षित रहते हैं।
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