किसी समुच्चय \(A=\{1,2,3,4\}\) पर relation (R={(a,b):\(a\equiv b \pmod{2}\)}) है। (R) से बनने वाला partition कौन सा है?
For \(A=\{1,2,3,4\}\), relation (R={(a,b):\(a\equiv b \pmod{2}\)}). Which partition is formed by (R)?
Explanation opens after your attempt
Correct Answer
A. ({{1,3},{2,4}})
Concept
By same parity, the odd class is ({1,3}) and the even class is ({2,4}). A partition is the collection of equivalence classes.
Why this answer is correct
The correct answer is A. ({{1,3},{2,4}}). By same parity, the odd class is ({1,3}) and the even class is ({2,4}). A partition is the collection of equivalence classes.
Exam Tip
Same parity के अनुसार विषम ({1,3}) और सम ({2,4}) classes मिलती हैं। Partition हमेशा equivalence classes का समूह होता है।
Login to save your score, XP, coins and progress.