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JEE Main & Advanced Mathematics Three Dimensional Geometry Question Bank System of Co-ordinates, Direction cosines and direction ratios, Projection

  • question_answer
    If the points (0, 1, 2), (2, ?1, 3) and (1, ?3, 1) are the vertices of a triangle, then the triangle is

    A)            Right angled

    B)            Isosceles right angled

    C)            Equilateral

    D)            None of these

    Correct Answer: B

    Solution :

               Here \[a=\sqrt{4+4+1}=\sqrt{9},\,\,b=\sqrt{1+4+4}=\sqrt{9}\] and \[c=\sqrt{1+16+1}=\sqrt{18}\].            Obviously it is a right angled and isosceles triangle.


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