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Let R be the relation on the set N of na...

Let `R` be the relation on the set `N` of natural numbers defined by `R={(a ,b): a+3b=12 ,a in N ,b in N}dot` Find : (i) `R` (ii) `Dom a inofR` (iii) `R a ngeofR`

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MODERN PUBLICATION-RELATIONS AND FUNCTIONS-Illustrative Example
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  2. If A = {4, 9, 16, 25}, B = {1, 2, 3, 4} and R is the relation "is squa...

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  3. Let R be the relation on the set N of natural numbers defined by R={(a...

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  5. If R is the relation "less than" from A = {1, 2, 3, 4, 5} to B = {1, 3...

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  6. Let A = {1, 2, 3, 4, 5, 6, 7, 8} and R be the relation on A defined by...

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  7. Let A = {1, 2, 3, 4, 5, 6}. Define a relation R from A to A by R = {(x...

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  8. Show that the relation 'gt' on the set R of all real numbers is transi...

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  9. Consider that the set A = {a, b, c}. Give an example of a relation R o...

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  10. Let R be the relation of the set Z of all integers defined by : R = ...

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  11. Show that the relation is parallel to on the set S of all straight lin...

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  12. Prove that the relation R on Z defined by (a ,\ b) in RhArr a-b is di...

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  13. Let n be a positive integer. Prove that the relation R on the set Z of...

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  14. Prove that a relation R defined on NxxN where (a, b)R(c, d) <=> ad = ...

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  15. Which of the following graphs represent the function of x ? Why

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  16. Let N be the set of natural numbers and the relation R be defined on ...

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  17. Which of the following relations are functions? Give reason. If it is ...

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  18. Let N be the set of natural numbers. Define a real valued function ...

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  19. Let f = {(1, 2), (2, 3), (0, 1), ( 1, 3)}be a linear function from...

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  20. Let A = {1,2,3},B={4,5} and let f={(1,4),(2,5),(3,5)}. Show that 'f' i...

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