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Question

Which of the following is the inverse pair of 1 under the operations multiplication and subtraction?


A

1,1

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B

1,0

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C

0,0

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D

None of these

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Solution

The correct option is D

None of these


If we want to find the inverse of an element under the binary operation , then should have an identity. This is clear from the definition of inverse for an element. If e is the identity of and a b = e = b a, then b is called the inverse of a. But we saw that subtraction does not have an identity. So the inverse for any element under subtraction does not exist.

None of these


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