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Can a relation R on a set A be both symm...

Can a relation R on a set A be both symmetric and antisymmetric?

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Any relation R on a set A in which (x,y) `in "R" implies` x=y is both symmetric and antisymmetric on A.
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CHHAYA PUBLICATION-RELATIONS-Very short Answer Type Questions
  1. Let A={1,3,5} , B ={2,4,6} and R be the relation defined by xRy impl...

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  2. When is a relation R on a set A not reflexive ? Let A {a,b,c,d} and ...

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  3. When is a relation R on a set A not symmetric ? Let X= {1,2,3,4} and...

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  4. When is a relation R on a set A not antisymmetric? Let A={1,2,3,4} ...

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  5. When is a relation R on a set A not transitive ? Let A={1,2,3,4} and...

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  6. Can a relation R on a set A be both symmetric and antisymmetric?

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  7. Find the domain and range of each of the following relations : (i). ...

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  8. Find the domain and range of each of the following relations : R(2)=...

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  9. Find the domain and range of each of the following relations : R(3) ...

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  10. Find the domain and range of each of the following relations : R(4) ...

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  11. Find the domain and range of each of the following relations : R(5) ...

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  12. Find the domain and range of each of the following relations : R(6)=...

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  13. Find the domain and range of each of the following relations : R={ ...

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  14. Find the domain and range of each of the following relations : S={(x...

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  15. Define an equivalence relation. Show that the relation similarity on t...

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  16. Define a relation R on the set A ={a,b,c} which is neither reflexive n...

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  17. R is a relation is defined on the set {1,2,3,4} as follow R={(1,2), ...

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  18. Let A= {1,2,3} and R={(1,2), (2,3), (3,3), }be a relation on A. Add a ...

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  19. consider three right angle triangles T(1) with sides 3,4,5 T(2) with s...

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