यदि \(A=\{1,2,3,4\}\), \(B=\{1,2,3,4\}\) और \(R=\{(a,b):a+b=5\}\), तो (R) में कितने अवयव हैं?

If \(A=\{1,2,3,4\}\), \(B=\{1,2,3,4\}\), and \(R=\{(a,b):a+b=5\}\), how many elements are in (R)?

Explanation opens after your attempt
Correct Answer

C. (4)

Step 1

Concept

The condition gives ((1,4),(2,3),(3,2),(4,1)), so there are (4) elements. A relation is a subset of \(A\times B\).

Step 2

Why this answer is correct

The correct answer is C. (4). The condition gives ((1,4),(2,3),(3,2),(4,1)), so there are (4) elements. A relation is a subset of \(A\times B\).

Step 3

Exam Tip

शर्त से ((1,4),(2,3),(3,2),(4,1)) मिलते हैं, इसलिए (4) अवयव हैं। संबंध \(A\times B\) का उपसमुच्चय होता है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3,4\}\), \(B=\{1,2,3,4\}\) और \(R=\{(a,b):a+b=5\}\), तो (R) में कितने अवयव हैं? / If \(A=\{1,2,3,4\}\), \(B=\{1,2,3,4\}\), and \(R=\{(a,b):a+b=5\}\), how many elements are in (R)?

Correct Answer: C. (4). Explanation: शर्त से ((1,4),(2,3),(3,2),(4,1)) मिलते हैं, इसलिए (4) अवयव हैं। संबंध \(A\times B\) का उपसमुच्चय होता है। / The condition gives ((1,4),(2,3),(3,2),(4,1)), so there are (4) elements. A relation is a subset of \(A\times B\).

Which concept should I revise for this Mathematics MCQ?

The condition gives ((1,4),(2,3),(3,2),(4,1)), so there are (4) elements. A relation is a subset of \(A\times B\).

What exam hint can help solve this Mathematics question?

शर्त से ((1,4),(2,3),(3,2),(4,1)) मिलते हैं, इसलिए (4) अवयव हैं। संबंध \(A\times B\) का उपसमुच्चय होता है।