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If R is the set of all real numbers, wha...

If R is the set of all real numbers, what do the cartesian products `R xxR`and `R xxR xxR`represent?

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We have `(RxxR)={(x,y):x,yinR}.`
Thus, `(RxxR)` represents the set of all coordinates of points in two-dimensional space.
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RD SHARMA-RELATIONS-Solved Examples And Exercises
  1. If A={1,2,3},\ B={3,4}a n d\ C={1,3,5} , find (AxxB)nn(AxxC)

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  2. If A={1,2},\ from the set AxxAxxA

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  3. If R is the set of all real numbers, what do the cartesian products R...

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  4. Let A and B be two sets such that AxxB consists of 6 elements. If thre...

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  5. Let A and B be two sets such that n(A)=5\ a n d\ n(B)=2,\ if\ a ,\ b ,...

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  6. If (a/3-1,\ b-1/3)=(5/3,2/3) , find the values of a\ a n d\ bdot

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  7. If the ordered pairs (x ,-1) and (5, y) belong to the set {(a , b): b=...

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  8. If (x+1,\ 1)=(3,\ y-2), find the value of x and y.

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  9. If a in {2,4,6,9}a n d\ b in {4,6, 18 , 27} , then from the set of al ...

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  10. if A={1,2} and B={1,3}, find AxxB\ a n d\ BxxA.

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  11. If A={1,2,3}a n d\ B={3,4}dot Find AxxB

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  12. If A={1,2,3}a n d\ B={2,4}, find AxxB

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  13. Let A and B be two sets such that n(A)=3\ a n d\ n(B)=2. if\ (x ,1)...

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  14. Let A={1,2,3,4} and\ R={(a , b): a in A , b in A ,\ a divides b} . W...

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  15. State whether each of the following statements are true or false. If t...

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  16. If A={1,2}, form the set AxxAxxAdot

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  17. If A={1,2,4}a n d\ B={1,2,3} , represent following sets - AxxB

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  18. If A={1,2,4}a n d\ B={1,2,3} , represent following sets - AxxB

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  19. If A={1,2,4}a n d\ B={1,2,3} , represent following sets - AxxA

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  20. If A={1,2,4}a n d\ B={1,2,3} , represent following sets - BxxB

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