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Give an example of a relation. Which ...

Give an example of a relation. Which is (i) Symmetric but neither reflexive nor transitive. (ii) Transitive but neither reflexive nor symmetric. (iii) Reflexive and symmetric but not transitive. (iv) Reflexive and transitive but not symmetric. (v) Symm

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Give an example of a relation which is symmetric but neither reflexive nor transitive.

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

Let A={1, 2, 3) be a given set. Define a relation on A swhich is (i) reflexive and transitive but not symmetric on A (ii) reflexive and symmeetric but not transitive on A (iii) transitive and symmetric but not reflexive on A (iv) reflexive but neither symmetric nor transitive on A (v) symmetric but neither reflexive nor transitive on A (vi) transitive but neither reflexive nor symmetric on A (vii) neither reflexive nor symmetric and transitive on A (vii) an equivalence relation on A (ix) neither symmetric nor anti symmmetric on A (x) symmetric but not anti symmetric on A

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

Every relation which is symmetric and transitive is also reflexive.

The relation R in R defined as R={(a,b):a (A) Reflexive and symmetric (B) Transitive and symmetric (C) Equivalence (D) Reflexive,transitive but not symmetric

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MODERN PUBLICATION-RELATIONS AND FUNCTIONS-NCERT - FILE (Question from NCERT Book) (Exercise 1.1)
  1. Determine whether each of the following relations are reflexive, symm...

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  2. Show that the relation R in the set R of real numbers, defined as R={...

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  3. Check whether the relation R defined in the set {1, 2, 3, 4, 5, 6}as R...

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  4. Show that the relation R in R defined as R={(a ,b): alt=b}, is reflexi...

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  5. Check whether the relation R in R defined by R={(a ,b):alt=b^3}is ref...

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  6. Show that the relation R in the set {1, 2, 3}given by R = {(1, 2), (2,...

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

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

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

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  10. Give an example of a relation. Which is (i) Symmetric but neither r...

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

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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. Show that the relation R defined on the set A of a polygons as R = {P(...

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  14. Let L be the set of all lines in X Y -plane and R be the relation in L...

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  15. Let R be the relation on the set A={1,\ 2,\ 3,\ 4} given by R={(1,\ 2)...

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  16. Let R be the relation in the set N given by R = {(a , b) : a = b 2, ...

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