यदि \(A=\{1,2,3\}\) पर \(R=\{(a,b):a\neq b\}\), तो (R) सममित है या नहीं?
If \(R=\{(a,b):a\neq b\}\) on \(A=\{1,2,3\}\), is (R) symmetric?
Explanation opens after your attempt
Correct Answer
A. हाँ, क्योंकि \(a\neq b\) होने पर \(b\neq a\) भी होता हैYes, because if \(a\neq b\), then \(b\neq a\) also
Concept
If two elements are different, the reversed ordered pair also has different elements. Therefore (R) is symmetric.
Why this answer is correct
The correct answer is A. हाँ, क्योंकि \(a\neq b\) होने पर \(b\neq a\) भी होता है / Yes, because if \(a\neq b\), then \(b\neq a\) also. If two elements are different, the reversed ordered pair also has different elements. Therefore (R) is symmetric.
Exam Tip
यदि दो अवयव अलग हैं, तो उल्टा ordered pair भी अलग अवयवों का होगा। इसलिए (R) सममित है।
Login to save your score, XP, coins and progress.