Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Let R be a relation from N to N defined by R = {(a, b) : a, b belongs to N and a = b^ 2 }. Are the following true?

Q9 (2)  Let R be a relation from N to N defined by R = \left \{ ( a,b): a,b \epsilon N \: \:and \: \: a = b ^ 2 \right \} . Are
            the following true?

            ( a,a ) \epsilon R , implies (b,a)  \epsilon R

Answers (1)

best_answer

It is given that
R = \left \{ ( a,b): a,b \epsilon N \: \:and \: \: a = b ^ 2 \right \}
And
 ( a,b ) \ \epsilon \ R , implies (b,a) \ \epsilon \ R
Now , it can be seen that  ( 2,4 ) \ \epsilon \ R ,  and 4 = 2^2 = 4 ,  But  2 \neq 4^2 =16
Therefore,  (2,4) \ \notin \ N
Therefore,  given statement is FALSE
 

Posted by

Gautam harsolia

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

Record 3.25 crore students register for PM Modi's Pariksha Pe Charcha 2025
anam-khan

Over 3 crore students register for PM Modi’s Pariksha Pe Charcha 2025
anam-khan

CBSE Class 10, 12 admit card 2025 for board exam likely by last week of January; past trends

Latest Question