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Let A and B be two sets such that n(A...

Let A and B be two sets such that `n(A)=3\ a n d\ n(B)=2. if\ (x ,1),\ (y ,2),\ (z ,1)a r e\ in\ AxxB ,\ ` find`\ A\ a n d\ B ,\ w h e r e\ x , y , z` are distinct elements.

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To solve the problem, we need to find the sets A and B given the conditions provided. Let's break it down step by step. ### Step 1: Understand the given information We know: - The number of elements in set A, denoted as n(A), is 3. - The number of elements in set B, denoted as n(B), is 2. - We have ordered pairs (x, 1), (y, 2), and (z, 1) that belong to the Cartesian product A × B. - The elements x, y, and z are distinct. ...
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RD SHARMA-RELATIONS-Solved Examples And Exercises
  1. If A={1,2,3}a n d\ B={3,4}dot Find AxxB

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

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

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

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

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

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

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

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

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  11. If A={2,3},\ B={4,5},\ C={5,6},\ \ find Axx(BuuC)

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  12. Let A={1,2},\ B={1,2,3,4},\ C={5,6}a n d\ D={5,6,7,8} . Verity that: A...

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  13. Let A={1,2},\ B={1,2,3,4},\ C={5,6}a n d\ D={5,6,7,8} . Verity that: A...

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  14. If A={1,2,3},\ B={3,4},\ C={4,5,6},\ fin d\ : Axx(BnnC)

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  15. If A={1,2,3},\ B={3,4,5},\ C={4,6},\ fin d\ :(AxxB)nn(AxxC)

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  16. If A={1,2,3},\ B={1,2,3,4},\ C={4,5,6},\ fin d\ : Axx(BuuC)

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  17. If A={1,2,3},\ B={1,2,3,4},\ C={4,5,6},\ fin d\ :(AxxB)nn(AxxC)

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  18. If A={a , b ,\ c , d},\ B={p , q , r , s} than is the following relati...

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  19. If A={a , b ,\ c , d},\ B={p , q , r , s} than Is the following relati...

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  20. If A={a , b ,\ c , d},\ B={p , q , r , s} than Is the following relati...

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