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On (A={1,2,3,4}), if (aRb) when (a\equiv b \pmod{2}), what is the equivalence class of (1)?यदि (A={1,2,3,4}) पर (aRb) यदि (a\equiv b \pmod{2}), तो (1) का समतुल्यता वर्ग कौन सा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ({1,3})({1,3})
Step 1: (a\equiv b \pmod{2}) means same parity. Step 2: The odd elements like (1) are (1) and (3). Step 3: Hence the class of (1) is ({1,3}).चरण 1: (a\equiv b \pmod{2}) का अर्थ है समान समता। चरण 2: (1) के समान विषम तत्व (1) और (3) हैं। चरण 3: इसलिए (1) का वर्ग ({1,3}) है।
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