यदि \(A=\{2,4,6\}\) पर (aRb) यदि (a-b) (2) से विभाज्य हो तो (R) कैसा है?
If on \(A=\{2,4,6\}\), (aRb) if (a-b) is divisible by (2), what kind of relation is (R)?
Explanation opens after your attempt
Correct Answer
A. सार्वभौम संबंधUniversal relation
Concept
All elements of the set are even, so the difference of any two elements is divisible by (2). Hence \(R=A\times A\).
Why this answer is correct
The correct answer is A. सार्वभौम संबंध / Universal relation. All elements of the set are even, so the difference of any two elements is divisible by (2). Hence \(R=A\times A\).
Exam Tip
समुच्चय के सभी अवयव सम हैं इसलिए किसी भी दो अवयवों का अंतर (2) से विभाज्य है। अतः \(R=A\times A\) है।
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