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Which of the following are examples of e...

Which of the following are examples of empty set? `{x : x` is a point common to may two parallel lines`}` .

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`{x:x` is a point common to any two parallel lines }

→ A empty set because there will be no common point between two parallel lines.
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Knowledge Check

  • Which one of the following is an example of non-empty set ?

    A
    Set of all even prime numbers
    B
    `(x:x^(2)-2=0" and x is rational")`
    C
    {x:x is a natural number, `x lt 8` and simultaneously `x gt 12`}
    D
    {x:x is a point common to any two parallel lines}

  • 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

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