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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
    The line joining the points \[(-2,\,\,1,\,-8)\] and \[(a,\,b,\,c)\] is parallel to the line whose direction ratios are 6, 2, 3. The values of \[a,b,c\] are                  

    A)            4, 3, ?5

    B)            1, 2, ?13/2

    C)            10, 5, ?2

    D)            None of these

    Correct Answer: A

    Solution :

               According to question, \[\frac{a+2}{6}=\frac{b-1}{2}=\frac{c+8}{3}\,\]            \[\Rightarrow \,\,a=4,\,\,b=3,\,\,c=-5\].


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