यदि \(A=\{0,1,2,3\}\), \(B=\{0,1,2,3,4\}\) और \(R=\{(a,b):b\ge a^2-1\}\) है, तो (|R|) क्या है?

If \(A=\{0,1,2,3\}\), \(B=\{0,1,2,3,4\}\), and \(R=\{(a,b):b\ge a^2-1\}\), what is (|R|)?

Explanation opens after your attempt
Correct Answer

B. (12)

Step 1

Concept

For (a=0,1,2,3), the counts of (b) are (5,5,2,0), totaling (12). Check the boundary separately for each (a).

Step 2

Why this answer is correct

The correct answer is B. (12). For (a=0,1,2,3), the counts of (b) are (5,5,2,0), totaling (12). Check the boundary separately for each (a).

Step 3

Exam Tip

(a=0,1,2,3) के लिए (b) के क्रमशः (5,5,2,0) मान मिलते हैं, कुल (12)। हर (a) पर सीमा अलग जाँचें।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{0,1,2,3\}\), \(B=\{0,1,2,3,4\}\) और \(R=\{(a,b):b\ge a^2-1\}\) है, तो (|R|) क्या है? / If \(A=\{0,1,2,3\}\), \(B=\{0,1,2,3,4\}\), and \(R=\{(a,b):b\ge a^2-1\}\), what is (|R|)?

Correct Answer: B. (12). Explanation: (a=0,1,2,3) के लिए (b) के क्रमशः (5,5,2,0) मान मिलते हैं, कुल (12)। हर (a) पर सीमा अलग जाँचें। / For (a=0,1,2,3), the counts of (b) are (5,5,2,0), totaling (12). Check the boundary separately for each (a).

Which concept should I revise for this Mathematics MCQ?

For (a=0,1,2,3), the counts of (b) are (5,5,2,0), totaling (12). Check the boundary separately for each (a).

What exam hint can help solve this Mathematics question?

(a=0,1,2,3) के लिए (b) के क्रमशः (5,5,2,0) मान मिलते हैं, कुल (12)। हर (a) पर सीमा अलग जाँचें।