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JEE Main & Advanced Mathematics Three Dimensional Geometry Question Bank Critical Thinking

  • question_answer
    The radius of the circle in which the sphere \[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}+2x-2y-4z-19=0\] is cut by the plane \[x+2y+2z+7=0\]is [AIEEE 2003]

    A) 1

    B) 2

    C) 3

    D) 4

    Correct Answer: C

    Solution :

    • \[p=\frac{-1+2+4+7}{\sqrt{1+4+4}}=\frac{12}{3}=4\]           
    • \  \[r=\sqrt{25-16}=3.\]


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