Class 12 Mathematics - Relations and Functions - Functions Expert Quiz

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समुच्चय \(A=\{1,2,3\}\) पर संबंध \(R=\{(1,1),(1,2),(1,3),(2,2),(2,3),(3,3)\}\) दिया है। यह संबंध कैसा है?

On the set \(A=\{1,2,3\}\), the relation \(R=\{(1,1),(1,2),(1,3),(2,2),(2,3),(3,3)\}\) is given. What type of relation is it?

Explanation opens after your attempt
Correct Answer

A. संक्रामकTransitive

Step 1

Concept

For transitivity, if \((a,b) \in R\) and \((b,c) \in R\), then \((a,c) \in R\) must also be present.

Step 2

Why this answer is correct

Here, ((1,2)) and ((2,3)) imply ((1,3)), which is present. Other required cases also hold.

Step 3

Exam Tip

In exams, check only pairs where the second element of one pair matches the first element of another. चरण 1: संक्रामक होने के लिए यदि \((a,b) \in R\) और \((b,c) \in R\), तो \((a,c) \in R\) होना चाहिए। चरण 2: यहाँ ((1,2)) और ((2,3)) से ((1,3)) भी संबंध में है। बाकी आवश्यक जोड़ियाँ भी पूरी हैं। चरण 3: परीक्षा में ऐसी जाँच करते समय केवल उन जोड़ियों को देखें जिनका बीच वाला तत्व समान हो।

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