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Let R be relation defined on the set of natural number N as follows : `R = {(x,y) : x in N, y in N , 2x + y =41}` . Find the domian and range of the relation R . Also verify whether R is reflexive, symmetric and transitive.

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The correct Answer is:
relation R is not reflexive, symmetric and transitive.
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KUMAR PRAKASHAN-RELATIONS AND FUNCTIONS -Solutions of NCERT Exemplar Problems (Long Answer Type Questions)
  1. If A = {1,2,3,4} , define relations on A which have properties of bein...

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  2. If A = {1,2,3,4} , define relations on A which have properties of bein...

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  3. Let R be relation defined on the set of natural number N as follows : ...

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  4. Given A = {2,3,4} , B = {2,5,6,7} . Construct an example of each of th...

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  5. Given A = {2,3,4} , B = {2,5,6,7} . Construct an example of each of th...

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  6. Given A = {2,3,4} , B = {2,5,6,7} . Construct an example of each of th...

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  7. Give an example of a map Which is one - one but not onto

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  8. Give an example of a map Which is not one - one but onto

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  9. Give an example of a map Which is neither one - one nor onto.

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  10. Let A = R - {3} , B = R - {1} . If f : A rarr B be defined f(x) = (x-2...

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  11. Let A = [-1,1] . Then , discuss whether the following functions define...

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  12. Let A = [-1,1] . Then , discuss whether the following functions define...

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  13. Check the injectivity and surjectivity of the following function . f...

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  14. Let A = [-1,1] . Then , discuss whether the following functions define...

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  15. Each of the following defines a relation of N : x is greater than y...

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  16. Each of the following defines a relation of N : x+y = 10 , x , y in ...

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  17. Each of the following defines a relation of N : x. y is square of a...

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  18. Each of the following defines a relation of N : x+4y =10 , x , y in ...

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  19. Let A = {1,2,3.......9} and R be the relation in AxxA defined by (a,b)...

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  20. Using the definition ,prove that the function F : AtoB is invertible ...

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