यदि \(A=\{1,2,3,4\}\) और \(R=\{(x,y):y=x+1\}\) हो तो (R) में कौन सा युग्म नहीं आएगा?
If \(A=\{1,2,3,4\}\) and \(R=\{(x,y):y=x+1\}\), which pair will not appear in (R)?
Explanation opens after your attempt
Correct Answer
D. \((4,5)\)
Concept
In ((4,5)), \(5\notin A\), so it is not a pair of \(A\times A\). While forming a relation, both components must belong to the set.
Why this answer is correct
The correct answer is D. \((4,5)\). In ((4,5)), \(5\notin A\), so it is not a pair of \(A\times A\). While forming a relation, both components must belong to the set.
Exam Tip
((4,5)) में \(5\notin A\) है इसलिए यह \(A\times A\) का युग्म नहीं है। संबंध बनाते समय दोनों अवयव समुच्चय में होने चाहिए।
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