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If (A={1,2,4,8,16}) and (R={(a,b):\frac{b}{a}\text{ is an integral power of }2}), why is (R) reflexive?यदि (A={1,2,4,8,16}) और (R={(a,b):\frac{b}{a}\text{ }2\text{ की पूर्णांक घात है}}) है, तो (R) प्रतिवर्ती क्यों है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Because (\frac{a}{a}=1=2^0)क्योंकि (\frac{a}{a}=1=2^0)
Step 1: On the diagonal, put (b=a). Step 2: Then (\frac{b}{a}=\frac{a}{a}=1=2^0), which is an integral power of (2). Step 3: Hence every ((a,a)) belongs to the relation.चरण 1: विकर्ण पर (b=a) रखें। चरण 2: तब (\frac{b}{a}=\frac{a}{a}=1=2^0), जो (2) की पूर्णांक घात है। चरण 3: इसलिए हर ((a,a)) संबंध में है।
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