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JCECE Engineering JCECE Engineering Solved Paper-2012

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

    A) \[7\]                                     

    B) \[8\]

    C) \[4\]                                     

    D) \[11\]

    Correct Answer: A

    Solution :

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


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