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Discussion :: GATE Mathematics

  1. Let X = {(x, y)∈ℝ2: x2 + y2 = 1} ∪ ([-1, 1] * {0}) ∪ ({0} * [-1, 1]). 
    Let n0 = max{k: k < ∞, there are k distinct points p1,..., pk ∈ X such that X∖{p1,..., pk}is connected}
    Let q1,¦,qn0+1 be n0+1 distinct points and Y = X\{q1,¦,qn0+1}. Let m be the number of connected components of Y. The maximum possible value of m is ______
    2. A.
    4
    B.
    8
    C.
    12
    D.
    16

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    Workspace

    View Answer

    Answer : Option B

    Explanation :

    -NA-

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