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Binary Operations

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Binary Operation|Example|Identity Element|Inverse Of Binary Operation|Examples|OMR|Summary

Show that * on Z^(+) defined by a*b=|a-b| is not binary operation

Define a binary operation on a set.

Examine which of the following is a binary operation : (i) a**b=(a+b)/(2),a,binN For binary operation, check the commutative and associative property.

Let * be the binary operation on N defined by aquad *,b commutative? Is * associative? Does there exist identity for this binary operation on N ?

Let * be the binary operation on N defined by a*b=HCF of a and b .Does there exist identity for this binary operation on N?

Define a commutative binary operation on a set.

Define an associative binary operation on a set.

Which of the following is true? * defined by a*b=(a+b)/2 is a binary operation on Z (b) * defined by a*b=(a+b)/2 is a binary operation on Q (c) all binary commutative operations are associative (d) subtraction is a binary operation on N

Consider the binary operation on Z defined by a ^(*)b=a-b . Then * is