Let `R` be a relation in N defined by `R={(a , b); a , b in N\ a n d\ a=b^2dot}` Are the following true: `(i)\ (a , a) in R\ AA\ a in N` `(ii)\ (a , b) in R=>(b , a) in R` `(iii)\ (a , b) in R ,(b , c) in R=>(a , c) in R`

Explanation

Given,`R={(a , b); a , b in N\ a n d\ a=b^2dot}`

i)It can be seen that` 2 in N `,however `2!=4`

so,statement (i) is not true

ii)It can be seen that `9,3 in N `,and `9=3^2` however,`3 !=9^2`

so,statement (ii) is not true


iii)It can be seen that `16,4 in N `,and `16=4^2`
However, `16 !=4^2`

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