यदि \(A=\{1,2,3,4,5\}\) और \(R=\{(a,b):a+2b=7\}\) है, तो (R) में कितने क्रमित युग्म हैं?

If \(A=\{1,2,3,4,5\}\) and \(R=\{(a,b):a+2b=7\}\), how many ordered pairs are in (R)?

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Correct Answer

B. (3) युग्म(3) pairs

Step 1

Concept

For (b=1,2,3), we get (a=5,3,1), so there are (3) pairs. In such counting, substitute each possible (b) and check whether (a) belongs to the set.

Step 2

Why this answer is correct

The correct answer is B. (3) युग्म / (3) pairs. For (b=1,2,3), we get (a=5,3,1), so there are (3) pairs. In such counting, substitute each possible (b) and check whether (a) belongs to the set.

Step 3

Exam Tip

(b=1,2,3) पर क्रमशः (a=5,3,1) मिलता है, इसलिए (3) युग्म हैं। ऐसी गिनती में हर संभव (b) रखकर (a) को समुच्चय में जांचें।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3,4,5\}\) और \(R=\{(a,b):a+2b=7\}\) है, तो (R) में कितने क्रमित युग्म हैं? / If \(A=\{1,2,3,4,5\}\) and \(R=\{(a,b):a+2b=7\}\), how many ordered pairs are in (R)?

Correct Answer: B. (3) युग्म / (3) pairs. Explanation: (b=1,2,3) पर क्रमशः (a=5,3,1) मिलता है, इसलिए (3) युग्म हैं। ऐसी गिनती में हर संभव (b) रखकर (a) को समुच्चय में जांचें। / For (b=1,2,3), we get (a=5,3,1), so there are (3) pairs. In such counting, substitute each possible (b) and check whether (a) belongs to the set.

Which concept should I revise for this Mathematics MCQ?

For (b=1,2,3), we get (a=5,3,1), so there are (3) pairs. In such counting, substitute each possible (b) and check whether (a) belongs to the set.

What exam hint can help solve this Mathematics question?

(b=1,2,3) पर क्रमशः (a=5,3,1) मिलता है, इसलिए (3) युग्म हैं। ऐसी गिनती में हर संभव (b) रखकर (a) को समुच्चय में जांचें।