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Check the following relations R and S fo...

Check the following relations `R` and `S` for reflexivity, symmetry and transitivity: (i)`a R b` iff `b` is divisible by `a ,\ a ,\ b in N` (ii) `l_1` `S\ l_2` iff `l_1_|_l_2` , where `l_1` and `l_2` are straight lines in a plane.

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RD SHARMA ENGLISH-RELATIONS-All Questions
  1. Show that the relation R on the set A={1,\ 2,\ 3} given by R={(1,\ 1),...

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  2. Show that the relation R on the set A={1,\ 2,\ 3} given by R={(1,\ 2),...

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  3. Check the following relations R and S for reflexivity, symmetry and tr...

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  4. Let a relation R1 on the set R of real numbers be defined as (a ,\ b) ...

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  5. Determine whether Relation R on the set A={1,\ 2,\ 3,\ ,\ 13 ,\ 14} d...

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  6. Determine whether Relation R on the set N of all natural numbers def...

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  7. Determine whether Relation R on the set A={1,\ 2,\ 3,\ 4,\ 5,\ 6} defi...

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  8. Determine whether Relation R on the set Z of all integer defined as R=...

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

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

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

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

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

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

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

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

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

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

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

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

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