Given (a,b)R(c,d) iff ad=bc show R forms an equivalence relation on RxR

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show that the relation R in the set N × N defined by (a, b) R (c, d) iff ad = bc is the equivalence show that the relation R in the set N × N defined by (a, b) R (c, d) iff ad = bc is the equivalence
In N x N ,show that the relation defined by (a, b) R (c, d) if and only if ad = bc is an equivalence In N x N ,show that the relation defined by (a, b) R (c, d) if and only if ad = bc is an equivalence
(𝑎,𝑏)𝑅(𝑐,𝑑)⟺𝑎+𝑑=𝑏+𝑐 (𝑎,𝑏)𝑅(𝑐,𝑑)⟺𝑎+𝑑=𝑏+𝑐
Equivalence Relation example Equivalence Relation example
Equivalence Relations: An Example Equivalence Relations: An Example
N be set of natural numbers and R be the relation on N×N defined by (a,b) R (c,d)⇔ad(b+c) = bc(a+d) N be set of natural numbers and R be the relation on N×N defined by (a,b) R (c,d)⇔ad(b+c) = bc(a+d)
If R is a Relation on N defined by (a, b) R(c, d) iff a+d=b+c,show that R is an equivalence relation If R is a Relation on N defined by (a, b) R(c, d) iff a+d=b+c,show that R is an equivalence relation
R is relation in `N xxN` as (a,b) R (c,d) `hArr ad = bc`. Show that R is |Class 12 MATH | Doubtnut R is relation in `N xxN` as (a,b) R (c,d) `hArr ad = bc`. Show that R is |Class 12 MATH | Doubtnut