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

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

Every relation which is symmetric and transitive is also reflexive.

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

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

Give any 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) symmetric and transitive but not reflexive.

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: Transitive but neither reflexive nor symmetric.

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

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

BETTER CHOICE PUBLICATION-RELATIONS AND FUNCTIONS -PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE
  1. Give an example of a relation which is symmetric and transitive but no...

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  2. Let f(x) = [x] and g(x) = |x| then find the value of (fog)(1/2) - ...

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  3. Let f(x) = [x] and g(x) = |x| then find the value of (gof) (5/3) -...

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  4. If f, g: Rrarr R are defined by f(x) = x^2 + 3x+1,g(x) = 2x – 3 then f...

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  5. If f, g: Rrarr R are defined by f(x) = x^2 + 3x+1,g(x) = 2x – 3 then f...

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  6. If f, g : R rarr R are defined respectively by : f (x) = x^2 + 3x + 1 ...

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  7. If f, g : R rarr R are defined respectively by : f (x) = x^2 + 3x + 1 ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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