Let $A=\{2,3,6,8,9,11\}$ and $B=\{1,4,5,10,15\}$
Let $\mathrm{R}$ be a relation on $\mathrm{A} \times \mathrm{B}$ define by $(\mathrm{a}, \mathrm{b}) \mathrm{R}(\mathrm{c}, \mathrm{d})$ if and only if $3 \mathrm{ad}-7 \mathrm{bc}$ is an even integer. Then the relation $\mathrm{R}$ is
Let $A=\{2,3,6,8,9,11\}$ and $B=\{1,4,5,10,15\}$
Let $\mathrm{R}$ be a relation on $\mathrm{A} \times \mathrm{B}$ define by $(\mathrm{a}, \mathrm{b}) \mathrm{R}(\mathrm{c}, \mathrm{d})$ if and only if $3 \mathrm{ad}-7 \mathrm{bc}$ is an even integer. Then the relation $\mathrm{R}$ is
- [JEE MAIN 2024]
- A
reflexive but not symmetric.
- B
transitive but not symmetric.
- C
reflexive and symmetric but not transitive.
- D
an equivalence relation.
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- [JEE MAIN 2023]
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- [KVPY 2009]
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