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Find whether or not R2={(2,\ 2),\ (3,\ 1...

Find whether or not `R_2={(2,\ 2),\ (3,\ 1),\ (1,\ 3)}` , on `A={1,\ 2,\ 3}` is (i) reflexive (ii) symmetric (iii) transitive.

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RD SHARMA ENGLISH-RELATIONS-All Questions
  1. Test whether, R3 on R defined by (a ,\ b) in R3<=> a^2-4\ a b+3b^2=0 ...

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

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

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

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  5. a R b if a-b >0 is defined on the set of real numbers, find whether...

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  6. a R b iff 1+a b >0 is defined on the set of real numbers, find whet...

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  7. a R b if |a|lt=b is defined on the set of real numbers, find whethe...

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  8. Check whether the relation R defined on the set A={1,\ 2,\ 3,\ 4,\ 5,\...

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  9. Check whether the relation R on R defined by R={(a ,\ b): alt=b^3} is ...

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  10. Prove that every identity relation on a set is reflexive, but the c...

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  11. If A={1,\ 2,\ 3,\ 4} define relations on A which have properties of be...

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  12. If A={1,\ 2,\ 3,\ 4} define relations on A which have properties of be...

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  13. If A={1,\ 2,\ 3,\ 4} define relations on A which have properties of be...

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  14. Let R be a relation defined on the set of natural numbers N as R={(...

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  15. Is it true that every relation which is symmetric and transitive is...

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  16. An integer m is said to be related to another integer n if m is a mult...

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  17. Show that the relation "geq" on the set R of all real numbers is refle...

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  18. Give an example of a relation which is reflexive and symmetric but ...

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  19. Give an example of a relation which is reflexive and transitive but...

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  20. Give an example of a relation which is symmetric and transitive but...

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