" (iii) "quad N" पर,"a*b=a^(3)+b^(3)" defined by "

R_(1) on Z defined by (a,b)inR_(1) " iff "|a-b|le7, R_(2) on Q defined by (a,b)inR_(2) " iff "ab=4 and R_(3) on R defined by (a, b)inR_(3)" iff "a^(2)-4ab+3b^(2)=0 Relation R_(3) is

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

Consider a binary operation ""^(**) on N defined by a^(**)b=a^(3)+b^(3),a,b in N , Examine, if ""^(**) is commutative

Consider a binary operation ""^(**) on N defined by a^(**)b=a^(3)+b^(3),a,b in N , Examine, if ""^(**) is associative

Consider a binary operation ** on N defined as a **b=a ^(3) +b ^(3). Choose the correct answer.

Consider a binary opertion ** on N defined as a **b=a ^(3) +b ^(3). Choose the correct answer.

Determine whether * on N defined by a*b=a^(b) for all a,b in N define a binary operation on the given set or not:

If * is defined by a * b=a-b^2 and oplus is defined by a oplus b = a^2+b ,where a and b are integers.Then find the value of ( 3 oplus 4 ) * 5