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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2011

  • question_answer
        The intersection of the spheres\[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}+7x-2y-z=13\]and \[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}-3x+3y+4z=8\]is the same as the intersection of one of the sphere and the plane

    A)  \[x-y+2z=1\]   

    B)  \[x-2y-z=1\]

    C)  \[x-y-z=1\]        

    D)  \[2x-y-z=1\]

    Correct Answer: D

    Solution :

                    Equation of plane of intersection of the two spheres is        \[{{S}_{1}}-{{S}_{2}}=0\] \[\therefore \] \[10x-5y-5z-5=0\] \[\Rightarrow \]               \[2x-y-z=1\]


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