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The Cartesian product A xxA has 9 elemen...

The Cartesian product `A xxA` has 9 elements among which are found `(1," "0)" "a n d" "(0," "1)` . Find the set A and the remaining elements of `A xxA` .

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The correct Answer is:
`A={-1,0,1}` The remaining elements of `AxxA1 are `(-1,1),(-1,1),(0,-1),(0,0),(1,-1),(1,0),(1,1)`
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ICSE-RELATIONS AND FUNCTIONS-EXERCISE 2 (a)
  1. If A={1,3,5,7) and B={2,4,6}, find BxxA

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  2. If A={1,3,5,7) and B={2,4,6}, find BxxB

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  3. If A={1,3,5,7) and B={2,4,6}, find n(AxxA)

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  4. If A={1,3,5,7) and B={2,4,6}, find n(AxxB)

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  5. If A={1,3,5,7) and B={2,4,6}, find n(BxxA)

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  6. If A={1,3,5,7) and B={2,4,6}, find n(BxxB)

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  7. If P={m,n) and Q={n,m}, then PxxQ={(m,n),(n,m)}

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  8. {(a,x),(a,y),(b,x),(b,y)} is a product set.

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  9. If n(A)=x and n(B)=y and AcapB=phi then n(AxxB)=xy.

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  10. If A and B are non-empty sets, then AxxB is a non-empty set of ordered...

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  11. Given A={1,2),B={3),C={4,5}, test whether the following are true : A...

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  12. Given A={1,2},B={3},C={4,5}, test whether the following is true: Axx...

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  13. If A={1,2,3,4},B={5,7,9},C={2,4,6}, find (i) AxxB (ii) (BxxC) (iii) ...

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  14. Some elements of AxxB are (a,x),(c,y),(d,z). If A={a,b,c,d}, find the ...

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  15. The ordered pairs (1,1),(2,2),(3,3) are among the elements in the set ...

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  16. If A={1,4},B={2,3,6} and C={2,3,7}, then verify that Axx(BcupC)=(AxxB)...

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  17. If A={1,4},B={2,3,6} and C={2,3,7}, then verify that Axx(BcapC)=(AxxB)...

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  18. If A={2,3},B={1,2,3},C={2,3,4} show that AxxA=(BxxB)cap(CxxC).

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  19. 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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  20. The Cartesian product A xxA has 9 elements among which are found (1...

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