यदि \(A=\{1,2,3,4\}\), \(B=\{2,3,4,5\}\) और \(T=\{(a,b)\in A\times B:a^2-b\le3\}\), तो (n(T)) कितना है?
If \(A=\{1,2,3,4\}\), \(B=\{2,3,4,5\}\), and \(T=\{(a,b)\in A\times B:a^2-b\le3\}\), what is (n(T))?
Explanation opens after your attempt
Correct Answer
B. (9)
Concept
For (a=1,2,3,4), the valid numbers of (b) are (4,4,1,0). Total is (9), so apply the condition for each first coordinate.
Why this answer is correct
The correct answer is B. (9). For (a=1,2,3,4), the valid numbers of (b) are (4,4,1,0). Total is (9), so apply the condition for each first coordinate.
Exam Tip
(a=1,2,3,4) पर मान्य (b) की संख्याएं क्रमशः (4,4,1,0) हैं। कुल (9) युग्म हैं, इसलिए हर पहले घटक पर शर्त लगाएं।
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