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A={(x,y) in R^2 : x ne0 and y=(1/x)} and...

A=`{(x,y) in R^2 : x ne0 and y=(1/x)}` and B=`{(x,y) in R^2:y=-x}` then `A capB` is equal to

A

a doubleton set

B

`phi`

C

a singleton set

D

none of these

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The correct Answer is:
B
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PATHFINDER-SETS AND RELATIONS-QUESTION BANK
  1. If A and B are two finite sets and n(A)=5,n(B)=6 then the minimum numb...

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  2. If A={(x,y):x^2+y^2=25} and B={(x,y):x^2+9y^2=144} then n(Acap B) is

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  3. A={(x,y) in R^2 : x ne0 and y=(1/x)} and B={(x,y) in R^2:y=-x} then A ...

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  4. If pN={px:x is a natural number} then 4N cap 10N is equal to

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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