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

  • question_answer
    If the direction consines of a line are \[\left( \frac{1}{c},\frac{1}{c},\frac{1}{c} \right)\] then

    A) \[0<c<1\]

    B) \[c>2\]

    C) \[c>0\]

    D) \[c=\pm \sqrt{3}\]

    Correct Answer: D

    Solution :

    [d] Since d. c. of line are \[\left\{ \frac{1}{c},\frac{1}{c},\frac{1}{c} \right\}\] \[\therefore \frac{1}{{{c}^{2}}}+\frac{1}{{{c}^{2}}}+\frac{1}{{{c}^{2}}}=1\Rightarrow {{c}^{2}}=3\Rightarrow c=\pm \sqrt{3}\]


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