Q1033: Let $R$ be a relation on $\mathbb{R}$, given by $R = \{(a, b... | Class JEE

Class JEE Mathematics Sets, Relations, and Functions Q #1033

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4 Marks 2023 JEE Main 2023 (Online) 1st February Morning Shift MCQ SINGLE

Let $R$ be a relation on $\mathbb{R}$, given by $R = \{(a, b) : 3a - 3b + \sqrt{7} \text{ is an irrational number} \}$. Then $R$ is

(A) an equivalence relation

(B) reflexive and symmetric but not transitive

(C) reflexive and transitive but not symmetric

(D) reflexive but neither symmetric nor transitive

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Correct Answer: D

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