Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 12-science Answered

Show that the relation R in the set R of real numbers , defined as R = {(a,b) : b = a^2} is neither reflexive,nor symmetric nor transitive .

Asked by himanshup8412 | 17 Jul, 2020, 07:28: PM
Expert Answer
As we know that a not equal to a2 except for the number 1.
So, we have 
straight a not equal to straight a squared space space for all straight a element of straight R minus left curly bracket 1 right curly bracket
Thus space straight R space is space not space reflexive
Let space left parenthesis straight a comma space straight b right parenthesis element of straight R space rightwards double arrow space straight b equals straight a squared
This space does space not space imply space that space straight a equals straight b squared
Thus comma space straight R space is space not space symmetric
Let space left parenthesis straight a comma straight b right parenthesis comma space left parenthesis straight b comma straight c right parenthesis element of straight R
rightwards double arrow straight b equals straight a squared space and space straight c equals straight b squared
rightwards double arrow straight c equals straight b squared equals straight a to the power of 4
This space does space not space imply space straight c equals straight a squared
Thus comma space straight R space is space not space transitive.
Answered by Renu Varma | 21 Jul, 2020, 07:45: PM
CBSE 12-science - Maths
Asked by shauryacho40 | 08 Apr, 2021, 10:48: AM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by majethiyarishat9566.12sdatl | 27 Oct, 2020, 11:51: AM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by ksanjeev8214 | 29 Sep, 2020, 01:34: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by seeni2005 | 29 Sep, 2020, 01:08: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
s
Asked by jiyag9397 | 22 Aug, 2020, 05:14: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by rosepreetk51 | 18 Aug, 2020, 09:52: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by himanshup8412 | 17 Jul, 2020, 07:28: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by john.lena07 | 04 Jul, 2020, 09:56: AM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by anushkadubey1202 | 18 Jun, 2020, 11:18: AM
ANSWERED BY EXPERT

Start your hassle free Education Franchisee and grow your business!

Know more
×