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 - Math Practice Question | divineJEE

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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

an equivalence relation

reflexive and symmetric but not transitive

reflexive but not symmetric.

transitive but not symmetric

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