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JEE Main & Advanced Mathematics Three Dimensional Geometry Question Bank Line

  • question_answer
    The angle between the straight lines \[\frac{x+1}{2}=\frac{y-2}{5}=\frac{z+3}{4}\] and  \[\frac{x-1}{1}=\frac{y+2}{2}=\frac{z-3}{-3}\] is [MP PET 2000]

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

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

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

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

    Correct Answer: D

    Solution :

                    \[\theta ={{\cos }^{-1}}\frac{(2+10-12)}{\sqrt{4+25+16}\sqrt{1+4+9}}\,={{\cos }^{-1}}(0)\]                                                                       Þ \[\theta ={{90}^{o}}\].


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