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

Q1

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

[JEE Main 2023, 1 Feb (Shift 1)]

a

Reflexive but neither symmetric nor transitive

b

Reflexive and transitive but not symmetric

c

Reflexive and symmetric but not transitive

d

An equivalence relation

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