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

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For any two sets A and B, if A cupB = A cap B , then show that A = B.

In three sets, A,B, C, show that (A cap B)' = A' cup B' .

Let A ,B and X be three sets such that A cap X= B cap X = phi and A cup X = B cup X .Then show that A=B .

If A,B,C are three non empty sets such that A cupB=A cup C and Acap B=A cap C then prove that B=C

For three sets A,B,C prove that A-(B cup C)=(A-B) cap (A-C)

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

If A,B and C are three sets such that A cap B = A cap C and A cup B = A cup C then

If A={4,5,6}, B={7,8} then show that A cup B =B cup A

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PATHFINDER-SETS AND RELATIONS-QUESTION BANK
  1. If A={0,1} and B={0,-1} then show that AxxB ne BxxA

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. If A and B be any two subsets of the set S then show that (AxxB) cap (...

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  20. If f:R rarr R be defined by f(x)=x^2+3 where R is the set of real numb...

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