A={2,3,6,8,9,11}B={1,4,5,10,15}(a,b)R(c,d)3ad−7bc Reflexive : (a,b)R(a,b) ⇒3ab−7ba=−4ab always even so it is reflexive. Symmetric : If 3ad−7bc= Even Case-I : odd odd Case-II : even even (c, d) R(a,b)⇒3bc−3ab Case-I : odd odd Case-II : even even so symmetric relation Transitive : Set (3,4)R(6,4) Satisfy relation Set (6,4)R(3,1) Satisfy relation but (3,4)R(3,1) does not satisfy relation so not transitive.
Let A=2,3,6,8,9,11 and B=1,4,5,10,15. Let R be a relation on A × B defined by (a, b) R(c, d) if and only if 3 a d-7 b c is an even integer. Then the…
JEE Main 2024 — Mathematics Algebra
2024mcqeasy
Let A={2,3,6,8,9,11} and B={1,4,5,10,15}. Let R be a relation on A×B defined by (a,b)R(c,d) if and only if 3ad−7bc is an even integer. Then the relation R is
Official previous-year question
Held on 8 Apr 2024 · Verified 6 Jul 2026.
Options
- A
an equivalence relation.
- B
reflexive and symmetric but not transitive.
- C
transitive but not symmetric.
- D
reflexive but not symmetric.
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