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

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:

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:

Let * be a binary operation defined on set Q – {1} by the rule a * b = a + b – ab. Then, the identity element for * is

Mark the correct alternative in each of the following:

Which of the following is true?