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If R={(1,-1),(2,0),(3,1),(5,3)} is a rel...

If R={(1,-1),(2,0),(3,1),(5,3)} is a relation then `R^(-1)` is

A

{(-1,1),(2,0),(1,3),(5,3)}

B

{(-1,1)(0,2),(1,3),(3,5)}

C

{(1,-1)(0,2),(1,3),(3,5)}

D

{(-1,1),(0,2),(1,3),(5,3)}

Text Solution

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The correct Answer is:
B
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PATHFINDER-SETS AND RELATIONS-QUESTION BANK
  1. State which of the following is true

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  2. If S={0,1,4,5,7}then the number of subsets of S is

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  3. If R={(1,-1),(2,0),(3,1),(5,3)} is a relation then R^(-1) is

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  4. If S={1,2,3,4,….10} be a universal set and A={1,2,5} and B={6,7} then ...

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  5. If aN={ax:x in N(natural number)} then 3N cap 7N is equal to

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  6. Set A={a,b,c,d} then the number of defined relation in A is

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  7. If for two sets A and B,A-B=A then which of the following is true?

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  8. The set of all positive odd numbers divisible by 2 is

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  9. If A and B are two finite sets and n(A)=5,n(B)=6 then the minimum numb...

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  10. 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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  11. 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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  12. If pN={px:x is a natural number} then 4N cap 10N is equal to

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

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

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

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

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

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

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

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

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