यदि \(R=\{(x,y)\in \mathbb{Z}\times\mathbb{Z}:x-y=3\}\), तो \(R^{-1}\) को किस रूप में लिखा जा सकता है?
If \(R=\{(x,y)\in \mathbb{Z}\times\mathbb{Z}:x-y=3\}\), how can \(R^{-1}\) be written?
Explanation opens after your attempt
Correct Answer
B. ({(x,y):y-x=3})
Concept
In the inverse, order is reversed, so the original condition (a-b=3) becomes (y-x=3). Do not forget the direction when variables are swapped.
Why this answer is correct
The correct answer is B. ({(x,y):y-x=3}). In the inverse, order is reversed, so the original condition (a-b=3) becomes (y-x=3). Do not forget the direction when variables are swapped.
Exam Tip
प्रतिलोम में क्रम बदलता है, इसलिए मूल शर्त (a-b=3) नई शर्त (y-x=3) बनती है। चर बदलते समय संबंध की दिशा न भूलें।
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