Let A=R x R (R is the set of real numbers) and define the following relation on A: (a, b) R (c, d) iff a^2+b^2=c^2+d^2 .Verify that (A, R) is an equivalence relation.
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Let S={1,2,3,4,5} and let A=S×S. Defined the relation on the R on A as follows (a, b)R(c, d) if an only if ad=bc. Then R is?
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