Mark the correct alternative in each of the following:

If G is the set of all matrices of the form , where x ∈ R – {0}, then the identity element with respect to the multiplication of matrices as binary operation, is

Mark the correct alternative in each of the following:

If a binary operation * is defined on the set Z of integers as a * b = 3a – b, then the value of (2 * 3) *4 is

Mark the correct alternative in each of the following:

Q⁺ denote the set of all positive rational numbers. If the binary operation on Q⁺ is defined as a , then the inverse of 3 is

Mark the correct alternative in each of the following:

Q⁺ is the set of all positive rational numbers with the binary operation * defined by for all a, b, ∈ Q⁺. The inverse of an element a ∈ Q⁺ is

Mark the correct alternative in each of the following:

If the binary operation is defined on the set Q⁺ of all positive rational numbers by . Then, is equal to