Let \(R\) be a relation on the set of ordered pairs of positive integers such…

GATE · 2015 · CS · Set 3 · Computer Science & IT

Let RR be a relation on the set of ordered pairs of positive integers such that ((p,q),(r,s))ϵR((p,q),(r,s)) ϵ R if and only if p−s=q−rp− s = q− r. Which one of the following is true about RR?

  1. A.

    Both reflexive and symmetric

  2. B.

    Reflexive but not symmetric

  3. C.

    Not reflexive but symmetric

  4. D.

    Neither reflexive nor symmetric

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