Let R be a relation on ℤ × ℤ defined by (a, b)R(c, d) if and only… | JEE Main 2024 Mathematics PYQ | Jeeify

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MCQMediumJEE Main 2024 · 29 January, Shift 1Relations

Let $R$ be a relation on $\mathbb{Z} \times \mathbb{Z}$ defined by $(a, b)R(c, d)$ if and only if $ad - bc$ is divisible by $5$ . Then $R$ is:

A
Reflexive and symmetric but not transitive
B
Reflexive but neither symmetric nor transitive
C
Reflexive, symmetric, and transitive
D
Reflexive and transitive but not symmetric

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