Let `N` denote the set of all natural numbers and R be the relation on `NxN` defined by `(a , b)R(c , d) iff a d(b+c)=b c(a+d)dot` Check whether R is an equivalence relation on `NxNdot`

Explanation

To prove a relation `R` is an equivalence relation, it will be sufficient to prove it as a reflexive, symmetric and transitive relation.



i) Reflexivity:




Let `(a, b)` be an arbitrary element of `N \times N`.




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