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If A={x : x in N, x" is an additive inve...

If `A={x : x in N, x" is an additive inverse of "2017}` and `B={x : x in N, x" is a multiplicative inverse of "2017}`. Then `Auu B=` ________.

A

`phi`

B

`{-2017, 1/2017}`

C

`1`

D

`{2017, (-1)/2017}`

Text Solution

Verified by Experts

The correct Answer is:
A

Additive inverse of 2017 is -2017 but `-2017 notin N`
`:. A={ }`
Multiplicative inverse of 2017 is `1/2017`,
but `1/2017 notin N`
`:. B={ }`
`A uu B={ }`
Hence, the correct option is (a).
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PEARSON IIT JEE FOUNDATION-SETS-VERY SHORT ANSWER TYPE
  1. The set builder form of A={1, 4, 9, 16, 25} is .

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  2. If A and B are two equivalent sets and n(A)=2016, then n(B)= .

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  3. If phi is an empty set, then n(phi)= .

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  4. The set of prime number which are having more then two factor is a/an ...

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  5. Which of the following is a singleton set ?

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  6. Let A be the set of all triangles in a plane having the sum of three i...

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  7. Which of the following is an infinite set ?

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  8. Which of the following is an empty set ?

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  9. Which of the following collection is not a set ?

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  10. Match the following Column A to Column B

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  11. If a and B are disjoint sets, then n(A uu B)=

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  12. If A={x : x" is prime"} and B={x : x" is even"}, then A nn B=

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  13. If A nn B=phi, then a and B are called sets.

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  14. If A and B are two non-empty sets, then the minimum number of elements...

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  15. If all the elements of set A are present in set B, then A uu B= .

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  16. If n(A)=2016 and n(B)=2017, then the minimum number of elements in A u...

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  17. If A is collection of natural numbers which are less than 2 and B={x :...

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  18. If A={x : x in N, x" is an additive inverse of "2017} and B={x : x in ...

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  19. If A={x : x in N, 2015 lt x lt 2017} B={x : x in N, x+1=2017}, then A-...

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  20. Match the following Column A to Column B

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