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Three relations R1, R2a n dR3 are define...

Three relations `R_1, R_2a n dR_3` are defined on set `A={a , b , c}` as follow: `R_1={(a , a),(a , b),(a , c),(b , b),(b , c),(c , a),(c , b),(c , c)}` `R_2={(a , b),(b , a),(a , c),(c , a)}` `R_3={(a , b),(b , c),(c , a)}` Find whether each of `R_1, R_2,R_3` is reflexive, symmetric and transitive.

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RD SHARMA ENGLISH-RELATIONS-All Questions
  1. Prove that a relation R on a set A is symmetric iff R=R^(-1) .

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

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

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

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

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

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

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

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

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

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

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

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

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  14. Let X={1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7,\ 8,\ 9} , Let R1 be a relation on X ...

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  15. Show that the relations R on the set R of all real numbers, defined as...

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  16. Let A={1,\ 2,\ 3} . Then, show that the number of relations contain...

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  17. Let A be the set of all human beings in a town at a particular time...

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  18. Let A be the set of all human beings in a town at a particular time...

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  19. Let A be the set of all human beings in a town at a particular time...

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  20. Let A be the set of all human beings in a town at a particular time...

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