JEE Main & Advanced Mathematics Three Dimensional Geometry Question Bank Sphere

  • question_answer
    The locus of the equation \[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}+1=0\]is

    A)            An empty set

    B)            A sphere

    C)            A degenerate set

    D)            A pair of planes

    Correct Answer: A

    Solution :

               An empty set. \[(\because \,\,{{x}^{2}}+{{y}^{2}}+{{z}^{2}}+1=0\] is not possible for any real value of x)


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