Let `R = {(x, y) : x, y in N and x^2-4xy+3y^2 = 0}`, where `N` is the set of all natural numbers. Then the relation R is

If f(x+y)=f(x)f(y) and sum_(x=1)^(oo)f(x)=2,x,y in N , where N is the set of all natural numbers , then the value of (f(4))/(f(2)) is :

Let R be a relation defined on the set of natural numbers N as follows: R = {(x,y): x in N,y in N and 2x + y = 24). Then, find the domain and range of the relation R. Also, find whether R is an equivalence relation or not.

Let R be a relation defined on the set of natural numbers N as follows: R= {(x,y): x in N, y in N and 2x + y = 24} . Find the domain and range of the relation R. Also, find if R is an equivalence relation or not.

Let R be relation defined on the set of natural number N as follows : R = {(x,y) : x in N, y in N , 2x + y =41} . Find the domian and range of the relation R . Also verify whether R is reflexive, symmetric and transitive.

If R = {(x, y): x + 2y = 8) is a relation on a set of natural numbers (N), then write the domain, range and codomain of R.

Let a relation R in the set of natural number be defined by (x,y) in R iff x^(2)-4xy+3y^(2)=0 for all x,y in N . Then the relation R is :

If a relation R on the set N of natural numbers is defined as (x,y)hArrx^(2)-4xy+3y^(2)=0 , where x,y inN . Then the relation R is (a) symmetric (b) reflexive (c) transitive (d) an equivalence relation.

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}.

Let R be a relation defined on the set of natural numbers N as follow : R= {(x,y):x in N, y in N and 2x+y=24} Find the domain and range of the relation R. Also, find R is an equivalence relation or not.