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

Define a binary operation on a set.

For the binary operation * on Z defined by a*b=a+b+1 the identity element is (a)0(b)-1(c)1(d)2

If the binary operation * on the set Z is defined by a a^(*)b=a+b-5, then find the identity element with respect to *

Consider a binary operation '**' on N defined as : a**b=a^(3)+b^(3) . Then :

On the set Z of integers,if the binary operation * is defined by a*b=a+b+2 then find the identity element.

If a binary operation is defined by a**b = a^b then 4**2 is equal to:

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?

If a binary operation is defined by a**b=a^(b) , then 3**2 is equal to :

Let * be a binary operation defined by a*b=3a+4b-2. Find 4^(*)5

Let * be a binary operation on Z defined by a*b=a+b-4 for all a,b in Z. show that * is both commutative and associative.