यदि \(A=\{1,2,3,4,5\}\), \(B=\{1,2,3,4,5\}\) और \(R=\{(a,b):a<b\}\) है, तो \(R^{-1}\cap R\) में कितने युग्म होंगे?
If \(A=\{1,2,3,4,5\}\), \(B=\{1,2,3,4,5\}\), and \(R=\{(a,b):a<b\}\), how many pairs are in \(R^{-1}\cap R\)?
Explanation opens after your attempt
Correct Answer
A. (0)
Concept
\(R^{-1}\) has the condition (a>b), which cannot hold together with (a<b). Therefore the intersection is empty.
Why this answer is correct
The correct answer is A. (0). \(R^{-1}\) has the condition (a>b), which cannot hold together with (a<b). Therefore the intersection is empty.
Exam Tip
\(R^{-1}\) में (a>b) वाली शर्त होगी, जो (a<b) के साथ एक साथ संभव नहीं है। इसलिए प्रतिच्छेद रिक्त है।
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