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JEE Math Practice Question

Let N denote the set of all natural numbers. Define two binary relations on N as R = {(x, y) $$ \in $$ N $$ \times $$ N : 2x + y = 10} and R2 = {(x, y) $$ \in $$ N $$ \times $$ N : x + 2y = 10}. Then :

  1. A.Range of R1 is {2, 4, 8).
  2. B.Range of R2 is {1, 2, 3, 4}.
  3. C.Both R1 and R2 are symmetric relations.
  4. D.Both R1 and R2 are transitive relations.

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