Relations and F...

A binary operation ∗ on a set A 

A binary operation ∗ on the set X is called commutative, if

If A is a non empty set, an element e ∈ A is called the identity for the binary operation ∗, if

An element a ∈ A is said to be invertible with respect to the operation ∗, if there exists

Division operation ∗  on the set R of nonzero real numbers is

∗: R × R → R given by (a , b) → a + 4b² ,is a

+ : R × R → R and ×:R × R → R are

A binary operation *: R × R → R defined by a ∗ b = a + 2b is

A binary operation * : R × R → R defined by a ∗ b = a + 2b is

If the binary operation ∗ defined on the set {1, 2, 3, 4, 5} by a ∗ b = L.C.M. of a and b, then ∗ is