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Sets and Relations question

2024 · 8 Apr · Shift 2 · Q43
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  5. /2024 · 8 Apr · Shift 2 · Q43

Sets and Relations question

2024 · 8 Apr · Shift 2 · Q43

JEE MainMathematicsSets and RelationsMCQ+4 / −1
Let A={2,3,6,8,9,11}A=\{2,3,6,8,9,11\}A={2,3,6,8,9,11} and B={1,4,5,10,15}B=\{1,4,5,10,15\}B={1,4,5,10,15}. Let RRR be a relation on A×BA \times BA×B defined by (a,b)R(c,d)(a, b) R(c, d)(a,b)R(c,d) if and only if 3ad−7bc3 a d-7 b c3ad−7bc is an even integer. Then the relation RRR is
  1. A
    reflexive but not symmetric.
  2. B
    an equivalence relation.
  3. C
    reflexive and symmetric but not transitive.
  4. D
    transitive but not symmetric.
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