Home
Class 12
MATHS
Let Z be the set of all integers and ...

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`

Promotional Banner

Similar Questions

Explore conceptually related problems

Let Z be the set of all integers and Z_0 be the set of all non zero integers. Let a relation R on Z X Z_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

Let Z be the set of all integers and Z_0 be the set of all non-zero integers. Let a relation R on ZxxZ_0 be defined as follows: (a ,\ b)\ R\ (c ,\ d)hArra d=b c for all (a ,\ b),\ (c ,\ d) in ZxxZ_0 Prove that R is an equivalence relation on ZxxZ_0

Let Z be the set of all integers and Z_0 be the set of all non-zero integers. Let a relation R on ZxxZ_0 be defined as follows: (a , b)R(c , d) if and only if a d=b c for all (a , b),(c , d) in ZxxZ_0 Prove that R is an equivalence relation on ZxxZ_0 .

Let Z be the set of all integers and Z_(0) be the set of all non-zero integers.Let a relation R on Z xx Z_(0) be defined as follows: (a,b)R(c,d)hArr ad=bc for all (a,b),(c,d)in Z xx Z_(0) Prove that R is an equivalence relation on Z xx Z_(0)

Let Z be the set of all integers and Z_(0) be the set of all non-zero integers. Let a relation R on ZZ xx ZZ_(0) be defined as follows : (a,b) R (c,d) rrArr ad=bc," " for " " all (a,d),(c,d) in ZZxxZZ_(0)

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

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×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 N be the set of natural numbers and R be a relation on N NxxN N defined by, (a,b) R (c,d) to a+d=b+c, for all (a,b) and (c,d) iN N NxxN N . prove that R is an equivalence relation on N NxxN N .

Let N be the set of natural number and R be the relation in NxxN defined by : (a,b) R (c,d) iff ad = bc, for all (a,b), (c,d) in NxxN Show that R is an equivalence relation.