यदि \(A=\{0,1,2,3,4,5\}\) और \(B=\{0,1,2,3,4,5\}\) हैं, तो \(A\times B\) में कितने युग्म ((a,b)) ऐसे हैं जिनमें \(a^2+b^2=25\) है?
If \(A=\{0,1,2,3,4,5\}\) and \(B=\{0,1,2,3,4,5\}\), how many pairs ((a,b)) in \(A\times B\) satisfy \(a^2+b^2=25\)?
Explanation opens after your attempt
C. (4)
Concept
The pairs are ((0,5),(3,4),(4,3),(5,0)), so the count is (4). Reversed ordered pairs are counted separately.
Why this answer is correct
The correct answer is C. (4). The pairs are ((0,5),(3,4),(4,3),(5,0)), so the count is (4). Reversed ordered pairs are counted separately.
Exam Tip
युग्म ((0,5),(3,4),(4,3),(5,0)) हैं, इसलिए संख्या (4) है। क्रमित युग्मों में उलटे युग्म अलग गिने जाते हैं।
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