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JEE Main & Advanced Mathematics Three Dimensional Geometry Question Bank Line

  • question_answer
    The angle between the pair of lines with direction ratios       (1, 1, 2) and \[(\sqrt{3}-1,-\sqrt{3}-1,4)\] is       [MP PET 1997, 2000]

    A)                                                               \[30{}^\circ \]

    B)                                                               \[45{}^\circ \]

    C)                                                               \[60{}^\circ \]

    D)                                                               \[90{}^\circ \]

    Correct Answer: C

    Solution :

                                                                  \[\cos \theta =\frac{1\,(\sqrt{3}-1)-1\,(\sqrt{3}+1)+2\times 4}{\sqrt{6}\,\sqrt{24}}=\frac{6}{12}\,\,\Rightarrow \,\,\theta ={{60}^{o}}\].


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