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If A={a ,b} and B={-4,6}, find AxxB...

If `A={a ,b}` and `B={-4,6},` find `AxxB`

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To find the Cartesian product \( A \times B \) of the sets \( A = \{ a, b \} \) and \( B = \{ -4, 6 \} \), we will follow these steps: ### Step 1: Understand the Cartesian Product The Cartesian product \( A \times B \) consists of all possible ordered pairs where the first element is from set \( A \) and the second element is from set \( B \). ### Step 2: List the Elements of Set A and Set B - Set \( A \) has the elements: \( a, b \) - Set \( B \) has the elements: \( -4, 6 \) ...
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RD SHARMA ENGLISH-RELATIONS-All Questions
  1. Let A be a non-empty set such that AxxB=AxxC . Show that B=C .

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

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  3. If A={a ,b} and B={-4,6}, find AxxB

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  4. A relation R is defined on the set Z of integers as: (x ,y) in R x^2...

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  5. For the relation R1 defined on R by the rule (a ,b) in R1:1+ab >...

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  6. The position of a point in a two dimensional plane in Cartesian coo...

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  7. Find the values of a\ a n d\ b ,\ if\ (3a-2,\ b+3)=(2a-1,\ 3)dot

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  8. If A={1,3,5,6}a n d\ B={2,4}, find AxxB\ a n d\ BxxAdot

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  9. If A={1,2,3},\ B={3,4} and C={1,3,5} , find Axx(BuuC)

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  10. If A={1,2,3},\ B={3,4}a n d\ C={1,3,5} , find Axx(BnnC)

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  11. If A={1,2,3},\ B={3,4}a n d\ C={1,3,5} , find (AxxB)nn(AxxC)

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

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

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

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

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

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

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

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