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Which of the following is the empty set?...

Which of the following is the empty set?

A

`{x : x in R , x^(2) - 1=0}`

B

`{x : x in N,x^(2) - 4=0}`

C

`{x: x in R,x^(2)-x - 1=0}`

D

`{x : x in N, x^(2) + 4x + 3 = 0}`

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • Which of the following is an empty set ?

    A
    The set of prime numbers which are even
    B
    The solution set of the equation `(2(2x+3))/(x+1) - 2/(x+1) + 3=0, x in R`
    C
    `(A xx B) cap (B xx A)`,where A and B are disjoint.
    D
    The set of real which satisfy `x^(2) + ix +i-1=0`

  • Which of the following is an empty set ?

    A
    `{x|x ` is a real number and `(1)/(x) = 0 }`
    B
    `{x| x ` is a real number and `x ^(2) = pi `}
    C
    {x|x is an integer and `x ^(2) = 4x -3}`
    D
    None of these

  • Which of the following is an empty set ?

    A
    `{x : x in N, x" is divisible by 2"}`
    B
    `{x : x in N, x" is the additive inverse of "2016}`
    C
    `{x : x" is a binary digit"}`
    D
    { x : x is either prime or composite}

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