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

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यदि कोई संबंध परावर्तक है, तो क्या वह हमेशा संक्रामी भी होगा?

If a relation is reflexive, will it always be transitive?

Explanation opens after your attempt
Correct Answer

A. नहींNo

Step 1

Concept

Reflexivity requires all ((a,a)) pairs.

Step 2

Why this answer is correct

Transitivity requires ((a,c)) whenever ((a,b)) and ((b,c)) are present. These are different conditions.

Step 3

Exam Tip

Assuming transitivity from reflexivity is a common exam mistake. चरण 1: परावर्तकता में सभी ((a,a)) युग्म चाहिए। चरण 2: संक्रामीता में ((a,b)) और ((b,c)) से ((a,c)) चाहिए। ये अलग शर्तें हैं। चरण 3: परावर्तक देखकर संक्रामी मान लेना परीक्षा में सामान्य गलती है।

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