\(\mathbb{R}\) पर (aRb) तभी जब (a-b>0)। (R) की कौन सी property सही है?
On \(\mathbb{R}\), (aRb) if and only if (a-b>0). Which property of (R) is correct?
Explanation opens after your attempt
Correct Answer
A. अप्रतिवर्ती और संक्रामीIrreflexive and transitive
Concept
Since (a-a=0), (aRa) is never true, so it is irreflexive. If (a>b) and (b>c), then (a>c), so it is transitive.
Why this answer is correct
The correct answer is A. अप्रतिवर्ती और संक्रामी / Irreflexive and transitive. Since (a-a=0), (aRa) is never true, so it is irreflexive. If (a>b) and (b>c), then (a>c), so it is transitive.
Exam Tip
(a-a=0) होने से (aRa) कभी सत्य नहीं, इसलिए irreflexive है। यदि (a>b) और (b>c), तो (a>c), इसलिए transitive है।
Login to save your score, XP, coins and progress.