On the set N of all natural numbers define the relation R by aRb if and only if the GCD of a and b is 2, then R is

JEE Main Mathematics question

On the set of all natural numbers define the relation by if and only if the GCD of and is 2, then is

Answer: (B)

Reflexive: , which equals 2 only for . For example , so is not reflexive. Symmetric: , so .

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Question ID VK-007330