If * is defined by `a **b=a-b^(2)` and `o+` is defined by `a o+ b=a^(2)+b` ,where a and b are integers then ,`(3o+4)**5=`

'o' on N defined by a o b= a b + b a for all a, b∈N define a binary operation on the given set or not:

If the binary operation * on Z is defined by a*b=a^2-b^2+a b+4 , then value of (2*3)*4 is

If the binary operation ** , defined on Q , is defined as a**b=2a+b-a b , for all a **\ b in Q, find the value of 3**4

Check the commutativity of O on Q defined by a\ \ b=a^2+b^2 for all a ,\ b in Q .

Let * be a binary operation o Q defined by a*b= (ab)/4 for all a,b in Q ,find identity element in Q

If the binary operation * on the set Z of integers is defined by a * b=a+3b^2 , find the value of 2 * 4 .

On the set Z of all integers a binary operation ** is defined by a**b=a+b+2 for all a ,\ b in Z . Write the inverse of 4.

If A=[(2,-1,3),( -4,5 ,1)] and B=[(2 ,3 ),( 4,-2),( 1 ,5)] , then only A B is defined (b) only B A is defined (c) A B and B A both are defined (d) A B and B A both are not defined

Let * be a binary operation on set of integers I , defined by a * b=2a+b-3 . Find the value of 3 * 4 .

Determine whether O on Z defined by a\ O\ b=a^b for all a ,\ b in Z define a binary operation on the given set or not: