JEE Main & Advanced Sample Paper JEE Main Sample Paper-19

  • question_answer The spheres\[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}x+y+z-1=0\]and\[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}+x+y+z-5=0\]

    A)  intersect in a plane

    B)  intersect in five points

    C)  do not intersect

    D)  None of these

    Correct Answer: C

    Solution :

     As the given spheres both have same centre and different radii therefore they are concentric and they do not have any point in common. Hence they do not intersect.

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