[" (4) Relation R in the set N of natural numbers defined ajeiver "],[qquad [" (ii) - Relation "R" in the set "y=x+5" and "x<4}," is inwer "]],[" (iii) -Relation "R" in the set "A={1,2,3,4,5,6}" as "]

Determine whether each of the following relations are reflexive, symmetric and transitive : (i) Relation R in the set A = {1, 2, 3,......, 13, 14} defined as R={(x,y): 3x-y=0} (ii) Relation R in the set N of natural numbers defined as R={(x,y): y=x+5 " and " x lt 4} (iii) Relation R in the set A = {1, 2, 3, 4, 5, 6} defined as R = {(x, y): y is divisible by x}. iv) Relation R in the set Z, of all integers defined as R = {(x, y) : x -y is an integer}.

If R is a relation on the set N of natural numbers defined by a+3b=12 .Find R.

If R is a relation on the set N of natural numbers defined by a+3b=12 .Find domain of R.

R be the relation on the set N of natural numbers, defined by xRy if and only if x+2y=8. The domain of R is

Let R be a relation on the set N of natural numbers defined by n\ R\ m if n divides m . Then, R is

Let R be a relation on the set N of natural numbers defined by n\ R\ m iff n divides mdot Then, R is

A relation R on the set of natural number N N is defined as follows : (x,y) in R to (x-y) is divisible by 5 for all x,y in N N Prove that R is an equivalence relation on N N .

Determine whether Relation R on the set N of all natural numbers defined as R={(x ,\ y): y=x+5 and x<4} is reflexive, symmetric or transitive.

Determine whether Relation R on the set N of all natural numbers defined as R={(x ,\ y): y=x+5 and x<4} is reflexive, symmetric or transitive.