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Let R be the relation on Z defined by R ...

Let R be the relation on Z defined by `R = {(a , b): a , b in Z , a b`is an integer}.Find the domain and range of R.

A

Domain of R is `{ 2,3,4,5...}`

B

range of R is Z

C

Both (a) and (b)

D

None of these

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The correct Answer is:
D
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DISHA PUBLICATION-RELATIONS AND FUNCTIONS -EXERCISE - 1
  1. The relation on the set A={x|x|<3,x,in Z} is defined by R={(x,y);y=|x|...

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  2. If A is the set of even natural number less than 8 and B is the set of...

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  3. Let R be the relation on Z defined by R = {(a , b): a , b in Z , a ...

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  4. If the set A has 3 elements and the set B = {3, 4, 5}, then find the n...

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  5. Find the domain and range of f(x)= x/(x+2)

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  6. For the following relation R = {(0,0),(0,1),(1,1),(2,1),(2,2),(2,0),...

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  7. Let R be a relation from N to N defined by R = {(a , b) : adot b in ...

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  8. Consider the following statements. I. The relation R = {(x,x^(3)) :...

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  9. Figure 2.14 shows a relation R between the sets P\ a n d\ Q . Write th...

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  10. The domain of relation R = {(x,y) : x^(2) + y^(2) = 16, x, y in Z } ...

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  11. If A = {a,b,c,d}, B = {1,2,3}, Which of the following sets of ordered ...

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  12. If A = {1,2,4}, B = {2,4,5} , C = {2,5} , then (A - C ) xx (B - C) is ...

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  13. If (AxxA) has 9 elements two of which are (-1,0) and (0,1), find the ...

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  14. the value of the function f(x)=(x^2-3x+2)/(x^2+x-6) lies in the inter...

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  15. Let A = {1,2,3,4}, B = { 1,5,9,11,15,16} and f = {(1,5), (2,9),(3,1),(...

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  16. Which of the following relation is a function ?

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  17. For which Domain, the functions f(x) = 2x^2-1 and g(x)=1-3x are equal ...

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  18. The domain of the function f(x) = (1)/(sqrt(9 - x^(2))) is

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  19. There are three relations R(1) , R(2) and R(3) such that R(1) = {(2,...

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  20. The domain of definiton of the function f(x)=(1)/(sqrt(x^(12)-x^(9)+x^...

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