[" 2.Let "R={(x,y):x,y in Z" and "x^(2)+y^(2)<=4}],[" (i) Write "R" in roster form."],[" (ii) Find dom (R) and range (R)."]

Let A={(x, y): x, y in z , x^(2)+y^(2) <= 16 }. Then the number of reflexive relations on set A is

Let relation R defined on Z as follows R={(x,y),x in Z,y in Z,x^(2)=y^(2)), then find domain of R.

If R ={ (x,y) : x,y in z, x^(2) +y^(2) le 4 } is a relation on Z then domain of R is

Let P={(x,y)//x in R, y in R, x^(2)+y^(2)=1} , then P is

If R ={(x,y): x,y in Z , x^2 +y^2 =64} then , write R in the roaster form

If R= {(x,y):x, y in Z, x^2+y^2le9} is a realation on Z, then domain of R is:

If x , y, z in R, x + y + z= 4 and x^(2) + y^(2) + z^(2) = 6 , then the maximum possible value of z is

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

Let R be the relation on the set Z of all integers defined by R={(x, y) : x,y in Z,x-y is divisible by n}.Prove that i) (x, x) in R for all x in , Z ii) (x, y) in R implies that (y, x) in R for all x, y in Z iii) (x, y) in R and (y, z) in R implies that (x, z) in R for all x, y, z in Z