Let r be a relation over the set N N and it is defined by (a, b) , r , (c, d) a + d = b + c. Then r is

JEE Advanced Mathematics question

Let be a relation over the set and it is defined by . Then is

Answer: (D)

(The "" in the definition is to be read as "if and only if".)

- Reflexive: , so . - Symmetric: . - Transitive: $(a, b)

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Question ID VK-109901