Determine whether ** is a binary operati...

Determine whether `` is a binary operation on the sets given below.
(i) `a b=a.|b|` on R.
(ii) `a b`= min (a,b) on A={1,2,3,4,5}
(iii) `(a b) = asqrt(b)` is binary on R.

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Determine whether `**` is a binary operation on the sets given below. (i) `a ** b=a.|b|` on R. (ii) `a ** b`= min (a,b) on A={1,2,3,4,5} (iii) `(a ** b) = asqrt(b)` is binary on R.