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

Mathematics Relations and Functions One-one function Expert Class 12 Level 15

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Question 1/1 Expert Mathematics Relations and Functions Transitive relation Class 12 Level 15

वास्तविक संख्याओं पर (aRb) तब है जब (a=b) या (a=b+1)। क्या यह संबंध संक्रामक है?

On real numbers, (aRb) is defined when (a=b) or (a=b+1). Is this relation transitive?

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Correct Answer

A. संक्रामक नहींNot transitive

Step 1

Concept

(3R2) is true because (3=2+1), and (2R1) is true because (2=1+1).

Step 2

Why this answer is correct

Transitivity requires (3R1), but neither (3=1) nor (3=1+1) is true.

Step 3

Exam Tip

Adding one-step allowance to equality can fail after two steps. चरण 1: (3R2) सत्य है क्योंकि (3=2+1), और (2R1) सत्य है क्योंकि (2=1+1)। चरण 2: संक्रामकता के लिए (3R1) चाहिए, पर (3=1) नहीं और (3=1+1) भी नहीं। चरण 3: बराबरी के साथ एक कदम की अनुमति जोड़ने पर दो कदम समस्या बना सकते हैं।

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