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Give any example of a relation, which is...

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.

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OMEGA PUBLICATION-RELATIONS AND FUNCTIONS -MULTIPLE CHOICE QUESTIONS (MCQs)
  1. Give any example of a relation, which is: (i) symmetric: but neithe...

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  2. Let the relation in the set {1, 2, 3, 4} given by R= {(1, 2), (2, 2), ...

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  3. Let R be the relation in the set N given by R = {(a, b) : a = b – 2, b...

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  4. Let f:R-R be defined as f(x) = x^4, then (a) f is one-one (b) f is man...

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  5. Let f : R to R be defined as f(x) = 3x. Then a. f is one-one onto b...

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

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  7. Let f : R – {4/3}rarrR be a function defined as f (x) = 4x/(3x+4) T...

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  8. Consider a binary operation ∗ on N defined as a * b = a^3 + b^3 Choose...

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  9. Let A = {1, 2, 3} Then number of relations containing (1, 2) and (1, 3...

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  10. Let A = {1, 2, 3} Then number of equivalence relations containing (1,...

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  11. Number of binary operations on the set {a, b} is :

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  12. Let R be the relation in the set {1,2,3,4} given by: R={(1,2),(2,2),...

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  13. Let R be the relation in the set N given by R ={(a,b) : a = b-2, g gt ...

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  14. Let f : R rarr R be defined as f(x) = x^4. Choose the correct answer.

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  15. Let f : R to R be defined as f(x) = 3x. Then a. f is one-one onto b...

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

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  17. Let f : R - {-4/3} rarr R be a function defined as f(x) = (4x)/(3x+4)....

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  18. Consider a binary operation '*' on N defined as a xx b =a^(3) + b^(3)....

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  19. Let A = {1, 2, 3} Then number of relations containing (1, 2) and (1, 3...

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  20. Let A = {1, 2, 3} Then number of equivalence relations containing (1,...

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  21. Number of binary operations on the set {a, b} is :

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