JEE Main & Advanced Mathematics Three Dimensional Geometry Question Bank Self Evaluation Test - Introduction to Three Dimensional Geometry

  • question_answer
    A parallelopiped is formed by planes drawn through the points (2, 4, 5) and (5, 9, 7) parallel to the coordinate planes. The length of the diagonal of the parallelepiped is        

    A) 8

    B) 4    

    C) 7

    D) 11

    Correct Answer: C

    Solution :

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


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