Question

In the given sets, working operations `**` is defined, check whether `**` is binary or not ? Justify your answer.
(i) In `Z^(+), a**b=a-b`
(ii) In `Z^(+), a**b=ab`
(iii) In `R, a**b=ab^(2)`
(iv) In `Z^(+), a**b=|a-b|`
(v) In `Z^(+), a*b=a`
(vi) In `Z^(+), a**b=a-3b`

Answer 1

Correct Answer - (ii),(iii),(iv),(v) are binary