Q.

If ab=ab then ba is called

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a

the additive inverse of ab

b

the multiplicative inverse ofab  

c

Both a and b

d

None of these

answer is B.

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Detailed Solution

Since, ab=abab=ab×1ab×ba=1

ba is called the multiplication inverse of ab  Henceab×ba=1 . So ba is not additive inverse of ab and also

ab=abab+(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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