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On (A={1,2,3,4,5}), what type is (R={(a,b):a\equiv b \pmod{2}})?(A={1,2,3,4,5}) पर (R={(a,b):a\equiv b \pmod{2}}) संबंध कैसा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Symmetricसममित
Step 1: (a\equiv b \pmod{2}) means (a) and (b) have the same parity. Step 2: If (a) has the same parity as (b), then (b) has the same parity as (a). Step 3: In similarity-type rules, check both directions naturally.चरण 1: (a\equiv b \pmod{2}) का अर्थ है कि (a) और (b) की सम-विषम प्रकृति समान है। चरण 2: यदि (a) की प्रकृति (b) जैसी है, तो (b) की प्रकृति भी (a) जैसी होगी। चरण 3: समानता जैसे नियमों में दोनों दिशा स्वाभाविक रूप से जाँचें।
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