Determine which of the following binary operations on the set N are associative and which are commutative.(a) `( b ) (c) a*b = 1AA a , b in N (d)`(e) (b) `( f ) (g) a*b=( h )(( i )(a+b)/( j )2( k ) (l)AAa , b in N (m)`(n)

Determine which of the following binary operations on the set N are associative and which are commutative.(a) (b)(c)a*bquad =quad 1AA a,quad b in N(d)(b)a*b=(h)((i)(a+b)/(j)2(k)(l)AA a,b in N(m)(n)

Determine whether the following binary operation on the set N is associative and commutative : a**b=1AA a,binN .

Determine whether the binary operation '**' on the set N of natural numbers defined by a**b=2^(ab) is associative or not.

Let ** be the binary operation defined on Q . Find which of the following binary operations are commutative (i) a ** b=a-b, AA a,b in Q (ii) a ** b=a^(2)+b^(2), AA a,b in Q (iii) a ** b=a+ab, AA a,b in Q (iv) a ** b=(a-b)^(2), AA a,b in Q

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.

Determine whether * on N defined by a*b=1 for all a,b in N is associative or commutative?

Determine whether * on N defined by a*b=a+b-2 for all a,b in N define a binary operation on the given set or not:

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:

Let * be a binary operation on N defined by a*b = a^(b) for all a,b in N show that * is neither commutative nor associative