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If A={0,1} and B={0,-1} then show that A...

If A={0,1} and B={0,-1} then show that `AxxB ne BxxA`

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If A = {1, 3}, B = {3, 5} and C = {5, 10}, show that, Axx(Bcup C) =(AxxB) cup(AxxC)

If A = {1, 3}, B = {3, 5} and C = {5, 10}, show that, Axx(BcapC) =(AxxB) cap(AxxC)

If A = [(1,0),(0,1)] and B = [(0,1),(-1,0)] , show that (pA + qB) (pA - qB) = (p^2 + q^2)A

If A={1,4},B={4,3},andC={3,6} , show that, A xx(BcupC)=(AxxB)cup (AxxC)

If A={:((1,2),(-1,-2))and B={:((-1,3),(-3,1)). then show that, (A+B)^(2)ne A^(2)+2AB+B^(2).

If A={:[(2,0,9),(-1,6,10),(4,-1,2)]:},B={:[(0,-1,-2),(3,2,-1),(4,-2,0)]:} and C={:[(1,-2,0),(0,1,2),(3,0,-1)]:} then show that, A(B+C) = AB + AC.

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PATHFINDER-SETS AND RELATIONS-QUESTION BANK
  1. If pN={px:x is a natural number} then 4N cap 10N is equal to

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  2. For any two nonempty sets A and B ,(Acup B)' cup (A'cap B) is equal to

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  3. If A={0,1} and B={0,-1} then show that AxxB ne BxxA

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  4. If the ordered pairs (x-2,2y+1) and (y-1,x-2) be equal then find x,y

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  5. If the sets A,B are such that A cup B=B cap A thrn show that A=B

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  6. If A={1,2,3,4} nd B={2,4,6,8} then find n(A cup B)

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  7. Show that n(P(P(P( phi))))=4

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  8. If mRn={(m,n):(m-n) is divisible by 5} then find (3Rn)cap(5Rn)

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  9. If f(x)=3x-5 and x in {-1,0,1,3,4} then find the range of f

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  10. If A={x:x^2=9 and 2x=3} then find set A

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  11. For any set A,B prove that A cap (B-A)=phi

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  12. If A={2,3,5} and B={2,5,6} then (A cap B)xx(A-B)=

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  13. If A= {a,b} B={p,q} then how many relation are there from set A to set...

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  14. P={(x,y):x,y in N and 3x+2y=15} is a relation on a set of natural numb...

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  15. If B subseteqA then prove that B-A=phi

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  16. Let A={1,2,3,5} and B={4,6,9} let R =R={(x,y):abs(x-y) is odd x in A,...

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  17. Find the domain and range of the relation R={(a,b):a+b=10,a,b in N}

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  18. IfA={x:0lt xlt4} and B={x:3lexlt6} where x is an integer then show tha...

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  19. If A,B,C are three non empty sets such that A cupB=A cup C and Acap B=...

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  20. If A={1,2,3} ,B={3,4} and C={1,3,5} find Axx(BcupC)

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