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`

Let R be a relation from N to N defined by R = {(a , b) : adot b in N and a=b^2 ). Are the following true?(i) (a , a) in R , for a l l a in N (ii) (a , b) in R , i m p l i e s (b , a) in R (iii) (a ,

Let R be a relation from N to N defined by R = {(a , b) : adot b in N and a=b^2 ). Are the following true?(i) (a , a) in R , forall a in N (ii) (a , b) in R , i m p l i e s (b , a) in R (iii) (a , b) in R , (b , c) ∈ R implies (a , c) ∈ R .

Let R be the relation on Z defined by R = {(a , b): a , b in Z , a b is an integer}.Find the domain and range of R.

Let R be the relation in set N, given by R= {(a,b): a = b-2,b gt 6} . Then,

Let R be the relation on Z defined by R={(a , b): a , b in Z , a-b is an integer }dot Find the domain and range of Rdot

Let R be a relation defined by R = {(a, b) : a ge b }, where a and b are real numbers, then R is

Let R_(1) be a relation defined by R_(1)={(a,b)|agtb,a,b in R} . Then R_(1) , is

Let the relation R be defined in N by aRb , if 2a + 3b = 30 . Then R = …… .

Let R be a relation on NxxN defined by (a , b)\ R(c , d)hArra+d=b+c\ if\ (a , b),(c , d) in NxxN then show that: (i)\ (a , b)R\ (a , b)\ for\ a l l\ (a , b) in NxxN (ii)\ (a , b)R(c , d)=>(c , d)R(a , b)for\ a l l\ (a , b),\ (c , d) in NxxN (iii)\ (a , b)R\ (c , d)a n d\ (c , d)R(e ,f)=>(a , b)R(e ,f)\ for all \ (a , b),\ (c , d),\ (e ,f) in NxxN

Let the relation R be defined in N by aRb, if 2a + 3b = 30. Then R = …… .