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JEE Math Practice Question

Let $$\mathrm{A}=\{1,2,3,4,5,6,7\}$$. Then the relation $$\mathrm{R}=\{(x, y) \in \mathrm{A} \times \mathrm{A}: x+y=7\}$$ is :

  1. A.reflexive but neither symmetric nor transitive
  2. B.transitive but neither symmetric nor reflexive
  3. C.symmetric but neither reflexive nor transitive
  4. D.an equivalence relation

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