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union counterexample MCQ Questions for Class 12

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Question 1/1 Hard Mathematics Relations and Functions Transitive relation Class 12 Level 13

यदि \(R=\{(1,2)\}\) और \(S=\{(2,3)\}\), दोनों अपने-अपने रूप में संक्रमण हैं। \(R\cup S\) कैसा है?

If \(R=\{(1,2)\}\) and \(S=\{(2,3)\}\), both are transitive individually. What about \(R\cup S\)?

Explanation opens after your attempt
Correct Answer

A. संक्रमण नहींNot transitive

Step 1

Concept

\(R\cup S={(1,2),(2,3)}\).

Step 2

Why this answer is correct

((1,2)) and ((2,3)) require ((1,3)), which is missing.

Step 3

Exam Tip

This example shows that union is not always transitive. चरण 1: \(R\cup S={(1,2),(2,3)}\) होगा। चरण 2: ((1,2)) और ((2,3)) से ((1,3)) चाहिए, पर वह नहीं है। चरण 3: यह उदाहरण याद रखें कि संघ हमेशा संक्रमण नहीं रहता।

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