Browse by Stream
Discuss Doubts
Home
Search for Exam, Articles, Questions
get app
Go To Your Study Dashboard
  1. Home
  2. If  is defined on the ser R of all real numbers by  
# School

If \ast is defined on the ser R of all real numbers by  \ast :a\ast b= \sqrt{a^{2}+b^{2}}, find the identity element,if it exists in R with respect to \ast.

 

 

 

 
 
 
 
 

Answers (1)
R Ravindra Pindel

Let e be the identity element in a relation is an element such that a\ast e= e\ast a= a
Here, a\ast e= \sqrt{a^{2}+e^{2}}
         \therefore \sqrt{a^{2}+e^{2}}= a
Squasing both sides
\Rightarrow a^{2}+e^{2}= a^{2}
\Rightarrow e^{2}= 0
\Rightarrow e= 0
\therefore so,identity element for the given relation is 0

Similar Questions

Related Chapters

Preparation Products

Knockout JEE Main April 2021

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 22999/- ₹ 14999/-
Buy Now
Knockout NEET May 2021

An exhaustive E-learning program for the complete preparation of NEET..

₹ 22999/- ₹ 14999/-
Buy Now
Knockout JEE Main April 2022

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 34999/- ₹ 24999/-
Buy Now
Test Series NEET May 2021

Take chapter-wise, subject-wise and Complete syllabus mock tests and get in depth analysis of your test..

₹ 6999/- ₹ 4999/-
Buy Now
Rank Booster NEET 2021

This course will help student to be better prepared and study in the right direction for NEET..

₹ 13999/- ₹ 9999/-
Buy Now
Boost your Preparation for JEE Main with our Foundation Course
Start Now
 
Exams
Articles
Questions