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On (A={0,1,2,3,4,5}), (R={(a,b):a^2+b^2=2ab}). Which statement about (R) is correct?समुच्चय (A={0,1,2,3,4,5}) पर (R={(a,b):a^2+b^2=2ab}) है। (R) के बारे में सही कथन क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: It is reflexiveप्रतिवर्ती है
Step 1: Rewrite (a^2+b^2=2ab) as (a^2-2ab+b^2=0). Step 2: This is ((a-b)^2=0), which is true when (a=b). Step 3: Therefore every ((a,a)) belongs to the relation.चरण 1: दी गई शर्त (a^2+b^2=2ab) को (a^2-2ab+b^2=0) लिखा जा सकता है। चरण 2: यह ((a-b)^2=0) है, जो (a=b) पर सत्य है। चरण 3: इसलिए हर ((a,a)) संबंध में है।
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