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

  • question_answer
    If the centroid of triangle whose vertices are (a,1, 3), (? 2, b, ?5) and (4, 7, c) be the origin, then the values of a, b, c are

    A)            ? 2, ?8, ?2

    B)            2, 8, ?2

    C)            ?2, ?8, 2

    D)            7, ?1, 0

    Correct Answer: C

    Solution :

               \[0=\frac{a-2+4}{3}\,\,\Rightarrow \,\,a=-2,\,\,0=\frac{1+b+7}{3}\,\Rightarrow \,\,b=-\,8\]                           and \[0=\frac{3-5+c}{3}\,\,\Rightarrow \,\,c=2\].


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