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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2007

  • question_answer
        Distance between two parallel planes \[2x+y+2z=8\]and\[4x+2y+4z+5=0\]is

    A)  \[\frac{3}{2}\]              

    B)  \[\frac{5}{2}\]

    C)  \[\frac{7}{2}\]                                  

    D)  \[\frac{9}{2}\]

    Correct Answer: C

    Solution :

                    The distance between \[4x+2y+4z-16=0\] and\[4x+2y+4z+5=0\]is\[\left| \frac{5+16}{\sqrt{16+4+16}} \right|\]                 \[=\left| \frac{21}{\sqrt{36}} \right|=\frac{21}{6}=\frac{7}{2}\]


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