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

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Give an example of relation which is Reflexive and transitive but not symmetric

Consider the set A = {a, b, c}. Give an example of a relation R on A. which is : reflexive and transitive but not symmetric.

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

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

Give an example of a relation. Which is: Reflexive and symmetric but not transitive.

Consider the set A = {a, b, c}. Give an example of a relation R on A. which is : reflexive and symmetric but not transitive.

Consider the set A = {a, b, c}. Give an example of a relation R on A. which is : Symmetric and transitive but not reflexive.

Give an example of a relation, which is Reflexive, but neither Symmetric nor Transitive.

Give an example of relation which is Transitive but niether reflexive nor symmetric.

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BETTER CHOICE PUBLICATION-RELATIONS AND FUNCTIONS -PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE
  1. If f, g : R rarr R are defined respectively by : f (x) = x^2 + 3x + 1 ...

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

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  3. Give an example of a relation which is reflexive and transitive but no...

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  4. Show that the relation R in the set {1,2,3} defined as R={(1,3), (3, 2...

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  5. If R is the relation ‘less than' for: A= {2, 4, 6, 8, 10} to B= {8,...

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  6. If R is the relation '' greater than'' for : A = {1, 4, 5,} to B={1...

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  7. Show that the function f:N rarr N given by f(x) = 4x is one-one, but ...

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  8. Show that the function f:N rarr N given by f(x) = 5x is one-one but n...

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  9. Find fog and gof , if f(x) = x^2 , g (x) = x +1

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  10. If f :Rrarr R defined by f(x)= (5x+6)/7 is an invertible function, ...

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  11. Prove that the relation R in Z of integers given by: R = {(x, y): 2x -...

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  12. Prove that the relation R in Z of integers given by: R = {(x, y): 3x -...

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  13. Show that the relation R defined by R = {(a, b) (a - b), is divisible ...

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  14. Check the injectivity and surjectivity of the following function: f ...

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  15. Check the injectivity and surjectivity of the following function: f :...

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  16. If f(x) =x/(x-1) then show that (fof)(x) = x.

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  17. If f:(1,3,4} rarr {1, 2,5} and g:(1,2,5) {1,3} be given by f = {(1, 2)...

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  18. If f : R rarr R defined by : f(x) = frac {3-2x}{4} is an inversible fu...

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  19. If f : R rarr R defined by : f(x) = frac {6-5x}{7} is an inversible fu...

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  20. Prove that the relation R in Z of integers given by: R = {(x, y): 2x -...

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