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Give an example of a relation. Which is:...

Give an example of a relation. Which is: Symmetric but neither reflexive nor transitive.

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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.

Give an example of a relation. Which is: Transitive but neither reflexive nor symmetric.

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.

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

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

Let a relation R ={(L_1, L_2) : L_1 is perpendicular to L_2} , be defined on the set of all lines L in a plane. Show that R is symmetric metric but neither reflexive nor transitive.

Give two examples of reflex action

Show that the relation ‘is perpendicular to' on the set A of all coplanar straight lines is symmetric but it is neither reflexive nor transitive.

MODERN PUBLICATION-RELATIONS AND FUNCTION-EXAMPLE
  1. Give an example of a relation. Which is: Symmetric but neither reflexi...

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  2. Which one of the following graph represents the function of x? Why?

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  3. Show that a one-one function f : {1, 2, 3} rarr {1, 2, 3} must be onto...

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  4. Let A be the set of all 50 students of class XII in a school. Let f: A...

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  5. Prove that the function f : RrarrR given by f (x) = 2x is one-one and...

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  6. Show that the function: f: N rarr N given by f(1) = f (2) = 1 and f (x...

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  7. Show that function f: Rrarr R given by f(x) = x^2 is neither one-one n...

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  8. Show that f : NrarrN , given by : f(x) = {(x+1,,if x is odd,,),(x-1,,i...

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  9. If f : R rarr R is defined by f(x) = x + 2, find f(f(x))

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  10. If f : R rarr R be given by: f(x) = (3-x^3)^1//3, then f(f(x)) is:

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  11. If f(x) = (x+1)/(x+2) and g(x) = x^2, then find fog

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  12. If f(x) = (x+1)/(x+2) and g(x) = x^2, then find gof.

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  13. Find gof and fog, if f(x) = |x| and g(x) = |5x -2|

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  14. Let f(x) = (4x+3)/(6x-4), x ne 2/3 .show that fof (x) = x.

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  15. Find gof and fog if f: RrarrR and g: R rarr R are given by f(x) = co...

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  16. If the function f : R rarr R given by f(x) = x^2 +2 and g RrarrR be g...

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  17. Let f : { 1, 2, 3} rarr {a, b, c} be one-one and onto function given b...

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  18. Let A = R- {3} and B = R- {1}. If f: ArarrB is a function defined by ...

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  19. Let Y = {n^2 : n in N} sub N Consider f : N rarr Y as f (n) = n^2 Show...

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  20. Let f: Nrar R be a function defined as : f(x) = 4x^2 + 12 x + 15. Sho...

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  21. Let f : N rarr N be a function deifned by f(x) = 9x^2 + 6x - 5. Show ...

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