Determine whether ** is a binary operation on the sets given below. a**b=a.|b| on RR

Determine whether ** is a binary operation on the sets given below. (a**b)=a sqrt(b) is binary on RR

Determine whether ** is a binary operation on the sets given below. a**b = min (a,b) on A={1,2,3,4,5}

In a binary operation * defined as a * b=3a-b then the value of (2 * 3) * 4 is

Let ** be a binary opertion on the set Q of rational numbers as follows: (i) a ***b =a -b (ii) a ** b =a^(2) + b ^(2) (iii) a **b =a + ab (iv) a ** b = (a-b) ^(2) (v) a **b = (ab)/(4) (vi) a **b =ab ^(2) Find which of the binary opertions are commutative and which are associative.

Let R be a relation on the set NN given by RR= {(a,b) : a=b-2,b gt6}. Then

For each opertion ** difined below, determine whether ** isw binary, commutative or associative. (i) On Z, define a **b =a - b (ii) On Q, define a **b =ab +1 (iii) On Q, define a **b = (ab)/( 2) (iv) On Z ^(+), define a **b = 2 ^(ab) (v) On Z ^(+), define a **b=a ^(b) (vi) On R - {-1}, define a **b= (a)/( b +1)

Let ** be a binary operation on set Q of rational numbers defined as a ** b= (ab)/8 . Write the identity for ** , If any.

Consider the binary operation * defined on the set A= {a,b,c,d} by the following table.