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Let A be the set of all human beings in ...

Let `A` be the set of all human beings in a town at a particular time. Determine whether Relation `R={(x ,\ y): x` is father of `y` } is reflexive, symmetric and transitive:

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RD SHARMA ENGLISH-RELATIONS-All Questions
  1. Let A be the set of all human beings in a town at a particular time...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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