# Let S be a relati

S = {(a, b) : a2 + b2 =1}

Proof :

To prove that relation is not equivalence, we need to prove that it is either not reflexive, or not symmetric or not transitive.

Reflexivity : For Reflexivity, we need to prove that-

(a, a) R

Let a = 1/2, a R

Then,

(a, a) S

S is not reflexive

Hence, S is not an equivalence relation on R.

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