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Give an example of a relation which is s...

Give an example of a relation which is symmetric and transitive but not reflexive.

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Let `A=\{-5,-6\}`.

Define a relation `R` on `A` as:

$$ R=\{(-5,-6),(-6,-5),(-5,-5)\} $$ ...
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RD SHARMA-RELATIONS-Solved Examples And Exercises
  1. Give an example of a relation which is reflexive and symmetric but ...

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

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

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

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

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

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

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

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  9. Each of the following defines a relation on N : (i)x > y ...

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  10. Let R be a relation on the set of all lines in a plane defined by (l...

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  11. Show that the relation ‘is congruent to’ on the set of all triangle...

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  12. Show that the relation R defined on the set A of all triangles in a pl...

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  13. Let n be a positive integer. Prove that the relation R on the set Z o...

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  14. Show that the relation R on the set A of all the books in a library of...

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  15. Show that the relation R on the set A={1,\ 2,\ 3,\ 4,\ 5} , given by R...

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  16. Show that the relation R on the set A={x in Z :0lt=xlt=12} , given by...

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  17. Show that the relation R on the set A of points in a plane, given by R...

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  18. Prove that the relation R on the set NxxN defined by (a ,\ b)R\ <=>(c ...

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  19. Let A={1,\ 2,\ 3,\ ,\ 9} and R be the relation on AxxA defined by (a ...

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  20. Let N be the set of all natural numbers and let R be a relation on Nxx...

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