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Discussion :: GATE Mathematics

  1. Which of the following subsets of ℝ2 is NOT compact?
  2. A.
    {(x,y) ∈ ℝ2 : -1 ≤ x ≤ 1, y = sinx}
    B.
    {(x,y) ∈ ℝ2 : -1 ≤ y ≤ 1, y = x8 - x3 - 1}
    C.
    {(x,y) ∈ ℝ2 : y = 0, sin(ex) = 0}
    D.
    {(x,y) ∈ ℝ2 : x > 0, y = sin(1/x)}⋂{(x,y) ∈ ℝ2 : x > 0, y = 1/x}

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    Answer : Option C

    Explanation :

    -NA-


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