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Let R be the equivalence relation in ...

Let `R` be the equivalence relation in the set `A={0,1,2,3,4,5}` given by `R={(a ,b):d i v i d e s(a-b)}dot` Write the equivalence class [0].

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`Set A={0,1,2,3,4,5}`

`R` be the equivalence relation on `A`.

`Set R={(a,b)2`divides`(a−b)}`

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RD SHARMA-RELATIONS-Solved Examples And Exercises
  1. Write the domain of the relation R defined on the set Z of integers as...

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  2. If R and S are transitive relations on a set A , then prove that...

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  3. Let R be the equivalence relation in the set A={0,1,2,3,4,5} given ...

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  4. If R={(x,y):x+2y=8} is a relation on N, write the range of R.

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  5. Let Z be the set of all integers and R be the relation on Z defi...

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  6. The union of two equivalence relations on a set is not necessarily an ...

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  7. Let A be the set of all students of a boys school. Show that the re...

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  8. Prove that a relation R on a set A is symmetric iff R=R^(-1) .

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  9. The relation R on the set N of all natural numbers defined by (x ,\ y)...

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  10. Three relations R1, R2a n dR3 are defined on set A={a , b , c} as foll...

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  11. Show that the relation R on the set A={1,\ 2,\ 3} given by R={(1,\ 1),...

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  12. Show that the relation R on the set A={1,\ 2,\ 3} given by R={(1,\ 2),...

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  13. Check the following relations R and S for reflexivity, symmetry and tr...

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  14. Let a relation R1 on the set R of real numbers be defined as (a ,\ b) ...

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  15. Determine whether Relation R on the set A={1,\ 2,\ 3,\ ,\ 13 ,\ 14} d...

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  16. Determine whether Relation R on the set N of all natural numbers def...

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  17. Determine whether Relation R on the set A={1,\ 2,\ 3,\ 4,\ 5,\ 6} defi...

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  18. Determine whether Relation R on the set Z of all integer defined as R=...

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  19. Show that the relation R on R defined as R={(a ,\ b): alt=b} , is refl...

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  20. Let S be the set of all points in a plane and R be a relation on S def...

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