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Find Which of the Operations Given Above Has Identity. - Mathematics

Question

Find which of the operations given above has identity.

Solution

An element ∈ Q will be the identity element for the operation * if

* e = a = e * a, ∀ a ∈ Q.

We are given

* b = ab4

⇒ a*e = a⇒ae4=a⇒ e=4

Similarly, it can be checked for e*a=a, we get e=4 Thus, e = 4 is the identity

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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 12 (2018 (Latest))
Chapter 1: Relations and Functions
| 10 | Page no. 25
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Find Which of the Operations Given Above Has Identity. Concept: Concept of Binary Operations.
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