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Question

Find the identity of the operation a b = ab4


A

1

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B

0

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C

2

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D

4

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Solution

The correct option is D

4


If e is the identity of a binary operation, then a e = a = e a for all a from the set on which it is defined. Let e be the identity of , then a e = a = e a. We are given a b=ab4.

a e=ae4 . This is equal to a

ae4=a

e = 4

So 4 is the identity of the binary operation given


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