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Let N denote the set of all natural numb...

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

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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)].

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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

XII BOARDS PREVIOUS YEAR-QUESTION PAPER 2023-Question
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