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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2005

  • question_answer
        A paralleiopiped is formed by planes drawn through the points (2,3,5) and (5,9,7), parallel to the coordinate planes. The length of a diagonal of the parallelepiped to piped is:

    A)  \[7\]                                    

    B)  \[\sqrt{38}\]

    C)  \[\sqrt{155}\]                                  

    D)  None of these

    Correct Answer: A

    Solution :

                    The lengths of the edges are given by \[a=5-2=3,\] \[b=9-3=6,\] \[c=7-5=2\] So, length of the diagonal                 \[=\sqrt{9+36+4}\]                 \[=7\]


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