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Check whether the relation R defined on ...

Check whether the relation `R` defined on the set `A={1,\ 2,\ 3,\ 4,\ 5,\ 6}` as `R={(a ,\ b): b=a+1}` is reflexive, symmetric or transitive.

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RD SHARMA ENGLISH-RELATIONS-All Questions
  1. a R b iff 1+a b >0 is defined on the set of real numbers, find whet...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. Give an example of a relation which is symmetric but neither reflex...

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  17. Give an example of a relation which is transitive but neither refle...

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  18. Given the relation R={(1,\ 2),\ (2,\ 3)} on the set A={1,\ 2,\ 3} , ad...

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

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  20. Let A={a , b , c) and the relation R be defined on A as follows: R={(a...

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