Class 12 Mathematics - Relations and Functions - One-one function Expert Quiz

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समुच्चय \(A=\{1,2,3,4\}\) पर \(R=\{(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(2,3),(3,2)\}\) है। कौन-सी जोड़ी जोड़ने पर भी संक्रामकता की एक कमी पूरी होगी?

On \(A=\{1,2,3,4\}\), \(R=\{(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(2,3),(3,2)\}\). Which added pair would fix one failure of transitivity?

Explanation opens after your attempt
Correct Answer

A. ((1,3))

Step 1

Concept

((1,2)) and ((2,3)) are in the relation.

Step 2

Why this answer is correct

They require ((1,3)), which is missing. Adding it fixes this one failure, though another failure may also need checking.

Step 3

Exam Tip

When the question asks for one failure, focus on the given chain. चरण 1: ((1,2)) और ((2,3)) संबंध में हैं। चरण 2: इनके कारण ((1,3)) चाहिए, जो नहीं है। इसे जोड़ने से यह कमी पूरी होगी, हालांकि दूसरी कमी भी जाँची जा सकती है। चरण 3: ऐसे प्रश्नों में पूछा गया हो कि एक कमी कौन-सी है, तो केवल उसी श्रृंखला पर ध्यान दें।

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