\(A=\{1,2,3\}\) पर \(R=\{(1,1),(2,2),(3,3),(1,2)\}\) प्रत्यासममित क्यों है?
Why is \(R=\{(1,1),(2,2),(3,3),(1,2)\}\) on \(A=\{1,2,3\}\) antisymmetric?
Explanation opens after your attempt
Correct Answer
A. क्योंकि \((2,1) \notin R\)Because \((2,1) \notin R\)
Concept
The reverse pair for distinct elements is not present. In antisymmetry, if ((a,b)) and ((b,a)) both occur, then (a=b) must hold.
Why this answer is correct
The correct answer is A. क्योंकि \((2,1) \notin R\) / Because \((2,1) \notin R\). The reverse pair for distinct elements is not present. In antisymmetry, if ((a,b)) and ((b,a)) both occur, then (a=b) must hold.
Exam Tip
अलग तत्वों के लिए उल्टा युग्म साथ में नहीं है। प्रत्यासममित में ((a,b)) और ((b,a)) दोनों हों तो (a=b) होना चाहिए।
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