🛠️ JEE➗ Maths

Let \(A=\{2,3,6,8,9,11\}\) and \(B=\{1,4,5,10,15\}\). Let \(R\) be a relation on \(A \times B\) defined by \((a, b) R(c,…

Q1

Let \(A=\{2,3,6,8,9,11\}\) and \(B=\{1,4,5,10,15\}\). Let \(R\) be a relation on \(A \times B\) defined by \((a, b) R(c, d)\) if and only if \(3 a d-7 b c\) is an even integer. Then the relation \(R\) is

[JEE Main 2024, 8 Apr (Shift 2)]

a

reflexive and symmetric but not transitive.

b

an equivalence relation.

c

transitive but not symmetric.

d

reflexive but not symmetric.

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