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Sets and Relations question

2023 · 1 Feb · Shift 1 · Q24
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  5. /2023 · 1 Feb · Shift 1 · Q24

Sets and Relations question

2023 · 1 Feb · Shift 1 · Q24

JEE MainMathematicsSets and RelationsMCQ+4 / −1
Let RRR be a relation on R\mathbb{R}R, given by R={(a,b):3a−3b+7R=\{(a, b): 3 a-3 b+\sqrt{7}R={(a,b):3a−3b+7​ is an irrational number }\}}. Then RRR is
  1. A
    an equivalence relation
  2. B
    reflexive and symmetric but not transitive
  3. C
    reflexive and transitive but not symmetric
  4. D
    reflexive but neither symmetric nor transitive
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