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Show that the relation R in the set {1, ...

Show that the relation R in the set `{1, 2, 3}`given by `R = {(1, 2), (2, 1)}`is symmetric but neither reflexive nor transitive.

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Show that the relation R on the set A={1,2,3} given by R={(1,2),(2,1)} is symmetric but neither reflexive nor transitive.

Show that the relation R in the set {1, 2, 3} defined as: (a) R={(1,2),(2,1)} is symmetric, but neither reflexive nor transitive (b) R={(1,1),(2,2),(3,3),(1,2),(2,3)} is reflexive, but neither symmetric nor transitive (c ) R={(1,3),(3,2),(1,2)} is transitive, but neither reflexive nor symmetric.

Show that the relation R in the set {1,2,3} given by R={(1,1),(2,2),(3,3),(1,2),(2,3)} is reflexive but neither symmetric nor transitive.

The relation R in the set {1,2,3} given by R = {(1,2), (2,1),(1,1)} is A) symmetric and transitive, but not reflexive B) reflexive and symmetric, but not transitive C) symmetric, but neither reflexive nor transitive D) an equivalence relation

Show that the relation R on the set A={1,2,3} given by R={(1,1),(2,2),(3,3),(1,2),(2,3)} is reflexive but neither symmetric nor transitive.

State the reason for the relation R in the set {1,2,3} given by R={(1,2),(2,1)} not to be transitive.

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

State the reason for the relation R on the set {1,2,3} given by R={(1,2),(2,1)} not to be transitive.

The relation R on the set A = {1, 2, 3} defined as R ={(1, 1), (1, 2), (2, 1), (3, 3)} is reflexive, symmetric and transitive.

Show that the relation R in the set of real numbers,defined as R={a,b):a<=b^(2)} is neither reflexive,nor symmetric,nor transitive.

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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