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Show that the relation R on R defined as...

Show that the relation `R` on `R` defined as `R={(a ,\ b): alt=b}` , is reflexive and transitive but not symmetric.

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RD SHARMA ENGLISH-RELATIONS-All Questions
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  2. Determine whether Relation R on the set Z of all integer defined as R=...

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

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

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

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

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

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

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

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

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

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  12. R1={(a ,\ a),\ (a ,\ b),\ (a ,\ c),\ (b ,\ b),\ (b ,\ c),\ (c ,\ a),\ ...

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  13. R2={(a ,\ a)} is defined on set A={a ,\ b ,\ c} . Find whether or not ...

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  14. R={(b , c)} is defined on set A={a ,\ b ,\ c} . Find whether or not it...

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  15. Test whether, R1 on Q0 defined by (a ,\ b) in R1<=> a=1//b is (i) ref...

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  16. Test whether, R2 on Z defined by (a ,\ b) in R2<=>|a-b|lt=5 is (i) re...

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  17. Test whether, R3 on R defined by (a ,\ b) in R3<=> a^2-4\ a b+3b^2=0 ...

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  18. Find whether or not R1={(1,\ 1),\ (1,\ 3),\ (3,\ 1),\ (2,\ 2),\ (2,\ 1...

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  19. Find whether or not R2={(2,\ 2),\ (3,\ 1),\ (1,\ 3)} , on A={1,\ 2,\ 3...

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  20. Find whether or not R3={(1,\ 3),\ (3,\ 3)} , on A={1,\ 2,\ 3} is (i) r...

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