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If A={1,3,5},B={x ,y} find the followin...

If `A={1,3,5},B={x ,y}` find the following products `AxxB` (ii) B`xxA` (iii) `AxxA` (iv) `BxxB`

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Given,`A={1,3,5},B={x,y}`
so,`A xxB={(1,x),(1,y),(3,x),(3,y),(5,x),(5,y)}`
`B xx A={(x,1),(x,3),(x,5),(y,1),(y,3),(y,5)}`
`A xx A={(1,1),(1,3),(1,5),(3,1),(3,3),(3,5),(5,1),(5,3),(5,5)}`
`B xx B={(x,x),(x,y),(y,x),(y,y)}`
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RD SHARMA-RELATIONS-Solved Examples And Exercises
  1. If A={1,2,4},B={2,4,5},C={2,5},t h e n(A-B)xx(B-C) is (a){(1, 2), (1...

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  2. If Aa n dB are two sets having 3 elements in common. If n(A)=5,n(B)=4,...

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  3. If A={1,3,5},B={x ,y} find the following products AxxB (ii) BxxA (iii...

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  4. If A={1,2} , find AxxAxxAdot

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  5. Theorem 2 (For any three set A;B;C; prove that Axx(B-C)=(AxxB)-(AxxC)

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  6. For any three sets A ,B ,C prove that: Axx(B^(prime)uuC^(prime))^'=...

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  7. If BsubeA , show that BxxBsube(AxxB)nn(BxxA)dot

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  8. If Aa n dB are any two non-empty sets, then prove that: AxxB=BxxA A=B...

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  9. If AsubeB , and CsubeD , prove that AxxCsubeBxxDdot

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  10. If AsubeB , prove that AxxCsubeBxxC for any set Cdot

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  11. If R is a relation on the set A={1,2,3,4,5,6,7,8,9} given by x R y, x ...

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  12. If A={1,2,3},B={4,5,6}, which of the following are relations from AtoB...

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  13. A" "=" "{1," "2," "3." "5}" "a n d" "B" "=" "{4," "6," "9} . Define a ...

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  14. A relation R is defined from {2,3,4,5,} to{3, 6, 7, 10}by : x R y :...

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  15. Let R be a relation in N defined by (x ,y) in R x+2y=8 . Express Ra ...

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  16. The Cartesian product A xxA has 9 elements among which are found (...

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  17. Let A={-1,3,5} and B={2,3} find the following products (i) AxxB (ii) ...

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  18. Express A={(a ,b):2a+b=5,a ,b in W} as the set ordered pairs.

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  19. If AxxB={(a ,1)(b ,3),(a ,3),(b ,1),(a ,2),(b ,2)}, find Aa n dBdot

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  20. Let A={1,2,3}and B={x : x in N ,x is prime less than 5}. Find AxxBa...

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