If R is a relation on N as `R= {(1+ x, 1+x^2): x <= 5, X in N}` which of the following is FALSE ?

Let R be a relation defined as R={(x,y) : y=sqrt((x-1)^2) , xepsilon Z and -3<=x<=3} Relation R is equals to :

Show that the relation R in the set : R = {x : x in Z, 0 le x le 1 2}, given by : R = {(a, b): a = b} are equivalence relations.

Let R be a relation in N defined by (x,y)in Rhat harr_(x)+2y=8. Express R and R^(-1) as sets of ordered pairs.

Let N be the set of natural numbers and the relation R be defined on N such that R = {(x, y) : y = 2x, x, y in N} . Is this relation a function ?

consider the relation R ={ (x,2x -1 ) |x in A }, where A = { 1,-1,3 } write R in roster form

consider the relation R ={ (x,2x -1 ) |x in A }, where A = { 1,-1,3 } write the range of R .

Define relations R_(1) and R_(2) on set A = [2,3,5,7,10] as x R_(1) y is 2x=(y - 1) and x R_(2) y if x + y = 10, then the relation R given by R = R_(1) cap R_(2) is

Given a relation R_(1) ,on the set R ,of real numbers,as R_(1)={(x,y):x^(2)-3xy+2y^(2)=0,x,y in R} .Is the relation R reflexive or symmetric?

Let R={(x,y):x^(2)+y^(2)=1,x,y in R} be a relation in R. Then the relation R is

The roots of the equation are ∣ x C r x+1 ​ C r ​ x+2 ​ C r ​ ​ n−1 ​ C r ​ n ​ C r ​ n+1 ​ C r ​ ​ n−1 ​ C r−1 ​ n ​ C r−1 ​ n+1 ​ C r−1 ​∣ =0 are a. x=n, b. x=n+1, c. x=n-1, d. x=n-2.