Let N be the set of all natural numbers and let R be a relation on `NxN` , defined by `(a , b)R(c , d) a d=b c` for all `(a , b),(c , d) in NxNdot`

Let N be the set of all natural numbers and let R be a relation on N×N , defined by (a , b)R(c , d) iff a d=b c for all (a , b),(c , d) in N × Ndot . Show that R is an equivalence relation on N × N .

Let N be the set of all natural numbers and let R be a relation on N xx N, defined by (a,b)R(c,d)ad=bc for all (a,b),(c,d)in N xx N. Show that R is an equivalence relation on N xx N. Also,find the equivalence class [(2,6)].

Let S be the set of all real numbers and Let R be a relations on s defined by a R B hArr |a|le b. then ,R is

Let S be set of all numbers and let R be a relation on S defined by a R b hArr a^(2)+b^(2)=1 then, R is

Let S be set of all real numbers and let R be relation on S , defined by a R b hArr |a-b|le 1. then R is

Let Z be the set of all integers and let R be a relation on Z defined by a Rb implies a ge b . then R is

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

Let Z be the set of all integers and Z_0 be the set of all non=zero integers. Let a relation R on ZxZ_0 be defined as follows: (a , b)R(c , d) a d=b c for all (a , b),(c , d)ZxZ_0 Prove that R is an equivalence relation on ZxZ_0dot