Question

If * is defined on R* as a*b=ab/2 , for all a,b€R* then identify element is the group ( R*,*) is​

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12th

Maths

Relations and Functions

Binary Operations

The set of integers Z with ...

MATHS

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Asked on December 26, 2019 by

Bhavan Champ

The set of integers Z with the binary operation ∗ defined as a∗b=a+b+1 for a,b,Z is a group.

ANSWER

a∗b=a+b+1 (a,b,z is a group)

at a=−1⇒a∗b=−1+b+1=b

at b=−1⇒a∗b=a−1+1=a

⇒a∗0=a+0+1

⇒ identity element is −1.

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