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ConceptConcept of Binary Operations

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#### Question

Let A = Q ✕ Q, where Q is the set of all rational numbers, and * be a binary operation defined on A by (*a*, *b*) * (*c*, *d*) = (*ac*, *b* + *ad*), for all (*a*, *b*) (*c*, *d*) ∈ A.

Find

(i) the identity element in A

(ii) the invertible element of A.

(iii)and hence write the inverse of elements (5, 3) and (1/2,4)

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#### Reference Material

Solution for concept: Concept of Binary Operations. For the courses CBSE (Arts), CBSE (Commerce), CBSE (Science)