Q^+ denote the set of all positive ratio...

`Q^+` denote the set of all positive rational numbers. If the binary operation `o.` on `Q^+` is defined as a `o.b=(a b)/2,` then the inverse of `3` is

`4/3`

`1/3`

`2/3`

`5/3`

Text Solution

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The correct Answer is:

`a*e=a=e*a, forall a in Q^+`
`frac{ae}{2}=a` and `frac{ea}{2}=a forall a in Q^+`
`e=2 forall a in Q^+`
If `b` is the inverse of `3`, then
`3 *b=e=b*3`
`3b/2=2` and `b3/2=2`
`b=4/3`
Inverse of `3` is `4/3`

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