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Give an example of a relation which is t...

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

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The correct Answer is:
`{(1,3),(3,2),(1,2)}`
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Give an example of a relation which is symmetric but neither reflexive nor transitive.

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

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) Symmetric and transitive but not reflexive.

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.

Show that the relation ' gt ' on the set R of all real numbers is transitive but it is neither reflexive nor symmetric.

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

Consider that the set A = {a, b, c} . Give an example of a relation R on A. Which is : (i)reflexive and symmetric but not transitive (ii) symmetric and transitive but not reflexive (iii) reflexive and transitive but not symmetric.

Prove that the relation "less than" in the set of natural number is transitive but not reflexive and symmetric.

MODERN PUBLICATION-RELATIONS AND FUNCTIONS-Objective Type Questions (D. Very Short Answer Types Questions)
  1. If R={(x,y):x+2y=10} is a relation in N, write the range of R.

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  2. Give an example of a relation which is reflexive and symmetric but ...

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  3. Give an example of a relation which is transitive but neither refle...

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  4. Let R be the relation ''greater than'' from A={1,4,5} to B={1,2,4,5,6,...

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  5. Which one of the following graphs represents the function of x? why?

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  6. Show that f(x)=3x+5 for all xinQ, is one-one.

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  7. Show that the function f: N->N , given by f(x)=2x , is one-one but not...

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  8. If f is a function from RrarrR such that f(x)=x^(2)AA x inR, then show...

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  9. Let A = {1, 2, 3}, B = {4, 5, 6, 7}and let f = {(1, 4), (2, 5), (3, 6)...

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  10. The function P is defined as: ''To each person on the earth is assig...

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  11. Write the function whose graph is shown below:

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  12. Consider functions f and g such that composite gof is defined and i...

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  13. Are f and g both necessarily onto, if gofis onto?

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  14. Give examples of two functions f:" "N->Z" "a n dg:" "Z->Z such that o...

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  15. Give examples of function: f:NrarrN and g:NrarrN such that gof is ...

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  16. Find fog, if f:RrarrR and g:RrarrR are given by: f(x)=cosxandg(x)=x^...

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  17. If f (x) = sin x, g(x) = x^(2), if x inR, then find [(fog)(x)].

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  18. If f:RrarrR is defined by f(x)=3x+1, find f(f(x)).

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  19. Let '**' be a binary operation on N given by: a**b=LCM (a,b) for all...

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  20. Let '**' be a binary operation on N given by: a**b=LCM (a,b) for all...

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