Class 12 Mathematics - Relations and Functions - Relations Medium Quiz

Mathematics Relations and Functions Relations Medium Class 12 Level 30

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Question 1/1 Medium Mathematics Relations and Functions Binary operations Class 12 Level 30

समुच्चय \(A=\{1,2,3,4\}\) पर संक्रिया (a*b=\min(a,b)) दी है। इस संक्रिया का तत्समक अवयव क्या है?

On the set \(A=\{1,2,3,4\}\), the operation (a*b=\min(a,b)) is defined. What is the identity element of this operation?

Explanation opens after your attempt
Correct Answer

D. (4)

Step 1

Concept

तत्समक अवयव (e) के लिए हर \(a \in A\) पर (a*e=a) होना चाहिए। / For identity (e), we need (a*e=a) for every \(a \in A\).

Step 2

Why this answer is correct

यहां (a*e=\min(a,e)) है। हर (a) को जैसा है वैसा पाने के लिए (e) सबसे बड़ा अवयव होना चाहिए। / Here (a*e=\min(a,e)), so (e) must be the greatest element of the set.

Step 3

Exam Tip

परीक्षा में न्यूनतम वाली संक्रिया में सबसे बड़ा अवयव तत्समक होता है। / In a minimum operation on a finite ordered set, the greatest element works as the identity.

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