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

  • question_answer
    Points (1, 1, 1), (-2, 4, 1), (-1, 5, 5) and (2, 2, 5) are the vertices of a

    A) Rectangle

    B) Square

    C) Parallelogram

    D) Trapezium

    Correct Answer: B

    Solution :

    [b] Let \[A=(1,1,1);B=(-2,4,1):C=(-1,5,5)\] & \[D=(2,2,5)\] Then, \[AB=\sqrt{9+9+0}=3\sqrt{2},BC=\sqrt{1+1+16}\] \[=3\sqrt{2}\] and \[CD=3\sqrt{2}\] and \[AD=3\sqrt{2}\]. Since, all sides are equal. Hence it is a square.


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