Home
Class 12
MATHS
Let N denote the set of all natural numb...

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

Promotional Banner

Similar Questions

Explore conceptually related problems

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

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 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 NxxNdot

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

If N denotes the set of all natural numbers and R be the relation on N xx N defined by (a, b) R (c, d) if ad(b+ c)=bc(a+d) . Show that R is an equivalence relation.

Let N denote the set of all natural numbers and R be the relation on NxxN defined by (a,b)R (c,d) if ad(b+c)=bc(a+d) then R is

Let NN be the set of all natural numbers and R be the relation on NNxxNN defined by : (a,b) R (c,d) rArr ad(b+c)=bc(a+d) Check wheather R is an equivalance relation on NNxxNN .

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 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 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 .