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JEE Main & Advanced Mathematics Straight Line Question Bank Angle between two straight lines, Bisector of angle between two lines

  • question_answer
    The angle between the lines \[y=(2-\sqrt{3})x+5\] and \[y=(2+\sqrt{3})x-7\] is                                       [MP PET 1997]

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

    B)            \[{{60}^{o}}\]

    C)            \[{{45}^{o}}\]                      

    D)            \[{{90}^{o}}\]

    Correct Answer: B

    Solution :

               \[\theta ={{\tan }^{-1}}\left( \frac{2-\sqrt{3}-2-\sqrt{3}}{1+4-3} \right)={{\tan }^{-1}}(-\sqrt{3})={{120}^{o}}\] Considering smaller angle\[{\theta }'={{60}^{o}}\].


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