CBSE (Science) Class 12CBSE
Share
Notifications

View all notifications

Find Which of the Operations Given Above Has Identity. - CBSE (Science) Class 12 - Mathematics

Login
Create free account


      Forgot password?

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

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 12 (2018 to Current)
Chapter 1: Relations and Functions
Q: 10 | Page no. 25
Solution Find Which of the Operations Given Above Has Identity. Concept: Concept of Binary Operations.
S
View in app×