\(A=\{1,2,3\}\) पर \(R=\{(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2)\}\) है। (R) को समतुल्य संबंध बनाने के लिए कौन सा युग्म जोड़ना जरूरी है?
On \(A=\{1,2,3\}\), \(R=\{(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2)\}\). Which pair must be added to make (R) an equivalence relation?
Explanation opens after your attempt
Correct Answer
A. ((1,3)) और ((3,1))((1,3)) and ((3,1))
Concept
From ((1,2)) and ((2,3)), transitivity requires ((1,3)). Symmetry then also requires ((3,1)).
Why this answer is correct
The correct answer is A. ((1,3)) और ((3,1)) / ((1,3)) and ((3,1)). From ((1,2)) and ((2,3)), transitivity requires ((1,3)). Symmetry then also requires ((3,1)).
Exam Tip
((1,2)) और ((2,3)) से transitivity के लिए ((1,3)) चाहिए। सममितता के लिए ((3,1)) भी चाहिए।
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