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Class JEE
Mathematics
Sets, Relations, and Functions
Q #1033
COMPETENCY BASED
APPLY
Bloom's Level: APPLY
Use information in new situations
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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