If ab=ab then ba is called

Since, ab=ab⇒ab=ab×1⇒ab×ba=1 ba is called the multiplication inverse of ab Henceab×ba=1 . So ba is not additive inverse of ab and also ab=ab⇒ab+(−ab)=0 So , −ab is additive inverse of ab But here asked about ba B: Sinceab×ba=1 . Clearly says that ba is multiplicative inverse of ab

If ab=ab then ba is called

Since, ab=ab⇒ab=ab×1⇒ab×ba=1 ba is called the multiplication inverse of ab Henceab×ba=1 . So ba is not additive inverse of ab and also ab=ab⇒ab+(−ab)=0 So , −ab is additive inverse of ab But here asked about ba B: Sinceab×ba=1 . Clearly says that ba is multiplicative inverse of ab

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If $\frac{a}{b} = \frac{a}{b}$ then $\frac{b}{a}$ is called

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the multiplicative inverse of

\frac{a}{b}

the additive inverse of

\frac{a}{b}

Both a and b

None of these

answer is B.

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Detailed Solution

Since,

\frac{a}{b} = \frac{a}{b} \Rightarrow \frac{a}{b} = \frac{a}{b} \times 1 \Rightarrow \frac{a}{b} \times \frac{b}{a} = 1

$\frac{b}{a}$ is called the multiplication inverse of $\frac{a}{b}$ Hence $\frac{a}{b} \times \frac{b}{a} = 1$ . So $\frac{b}{a}$ is not additive inverse of $\frac{a}{b}$ and also