समुच्चय \(A=\{1,2,3,4,5,6\}\) पर (R={(a,b):\(a-b\equiv 0 \pmod{5}\)}) है। तुल्यता वर्ग ([1]) क्या होगा?
On \(A=\{1,2,3,4,5,6\}\), (R={(a,b):\(a-b\equiv 0 \pmod{5}\)}). What is the equivalence class ([1])?
Explanation opens after your attempt
A. ({1,6})
Concept
(1) and (6) have the same remainder when divided by (5). Therefore ([1]={1,6}).
Why this answer is correct
The correct answer is A. ({1,6}). (1) and (6) have the same remainder when divided by (5). Therefore ([1]={1,6}).
Exam Tip
(1) और (6) का शेषफल (5) से भाग देने पर समान है। इसलिए ([1]={1,6}) है।
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