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Let S be a relation on the set R of al...

Let `S` be a relation on the set `R` of all real numbers defined by `S={(a , b)R×R: a^2+b^2=1}dot` Prove that `S` is not an equivalence relation on `Rdot`

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RD SHARMA ENGLISH-RELATIONS-All Questions
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  2. If R and S are relations on a set A , then prove the following : (...

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  3. Let S be a relation on the set R of all real numbers defined by S=...

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  4. Write the domain of the relation R defined on the set Z of integers as...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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