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If (A={1,2,3,4,5,6}) and (R={(a,b):a\mid b^2}), why is (R) reflexive?यदि (A={1,2,3,4,5,6}) और (R={(a,b):a\mid b^2}) है, तो (R) प्रतिवर्ती क्यों है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Because (a\mid a^2) for every (a)क्योंकि (a\mid a^2) हर (a) पर सत्य है
Step 1: For reflexivity, put (b=a). Step 2: The condition becomes (a\mid a^2), which is true for every positive integer (a). Step 3: In divisibility relations, checking the square of the same number is a quick method.चरण 1: प्रतिवर्तिता के लिए (b=a) रखें। चरण 2: तब शर्त (a\mid a^2) बनेगी, जो हर धनात्मक पूर्णांक (a) के लिए सत्य है। चरण 3: विभाज्यता में स्वयं के वर्ग को देखना तेज तरीका है।
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