यदि \(A=\{1,2,3,4,5\}\), \(B=\{1,2,3,4,5\}\) और \(R=\{(a,b):a+b=6\}\) है, तो \(R\circ R\) में कितने युग्म होंगे?
If \(A=\{1,2,3,4,5\}\), \(B=\{1,2,3,4,5\}\), and \(R=\{(a,b):a+b=6\}\), how many pairs are in \(R\circ R\)?
Explanation opens after your attempt
Correct Answer
B. (5)
Concept
For each (x), (R) maps it to (6-x) and then back to (x). Thus \(R\circ R={(x,x):x\in A}\) has (5) pairs.
Why this answer is correct
The correct answer is B. (5). For each (x), (R) maps it to (6-x) and then back to (x). Thus \(R\circ R={(x,x):x\in A}\) has (5) pairs.
Exam Tip
हर (x) के लिए (R) उसे (6-x) से और फिर वापस (x) से जोड़ता है। इसलिए \(R\circ R={(x,x):x\in A}\) में (5) युग्म हैं।
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