Let N be the set of natural numbers and the relation R be defined on N such that `R={(x,y) : y=2x, y in N}`,

Let N denote the set of all natural numbers and R be the relation on NxN defined by (a , b)R(c , d) a d(b+c)=b c(a+d)dot Check whether R is an equivalence relation on NxNdot

Let L be the set of all lines in XY plane and R be the relation in L defined as R = {(L_(1),L_2} : L_(1) is parallel to L_2 } . Show that R is an equivalence relation . Find the set of all lines related to the line y = 2x + 4.

Let N be the set of natural numbers. Define a real valued function f: N to n by f(x)=2x+1. Using this defination, complete the table given below,

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.

Let S be the set of the first 21 natural numbers, then the probability of choosing {x, y}inS , such that x^3+y^3 is divisible by 3, is

Let S be the set of the first 21 natural numbers, then the probability of Choosing {x,y,z}subeS , such that x,y,z are in AP, is

Let f:R->R be a function such that f(x+y)=f(x)+f(y),AA x, y in R.

Let S be the set of the first 21 natural numbers, then the probability of Choosing {x,y,z}subeS , such that x,y,z are not consecutive is,

Determine whether each of the following relations are reflexive , symmetric and transitive : Relation R is the set N of natural numbers defined as R = {(x,y): y = x +5 and x lt 4 } .