Class 12 Mathematics - Relations and Functions - Onto function Medium Quiz

Mathematics Relations and Functions Onto function Medium Class 12 Level 18

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Question 1/1 Medium Mathematics Relations and Functions Equivalence relation Class 12 Level 18

पूर्णांकों पर (aRb) तब है जब \(\lfloor \frac{a}{3}\rfloor=\lfloor \frac{b}{3}\rfloor\)। (5) का तुल्यता वर्ग कौन सा है?

On integers, (aRb) holds when \(\lfloor \frac{a}{3}\rfloor=\lfloor \frac{b}{3}\rfloor\). Which is the equivalence class of (5)?

Explanation opens after your attempt
Correct Answer

A. ({3,4,5})

Step 1

Concept

\(\lfloor \frac{5}{3}\rfloor=1\).

Step 2

Why this answer is correct

For (3,4,5), the value of \(\lfloor \frac{a}{3}\rfloor\) is also (1).

Step 3

Exam Tip

In floor-based relations, elements with the same floor value form one class. चरण 1: \(\lfloor \frac{5}{3}\rfloor=1\) है। चरण 2: (3,4,5) के लिए भी \(\lfloor \frac{a}{3}\rfloor=1\) मिलता है। चरण 3: पूर्णांक भाग वाले संबंध में समान पूर्णांक भाग वाले तत्व ही एक वर्ग बनाते हैं।

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