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JEE Main & Advanced Sample Paper JEE Main Sample Paper-42

  • 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 a diagonal of the parallelepiped 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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