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 straight lines \[x-y\sqrt{3}=5\] and \[\sqrt{3x}+y=7\]is                                          [MP PET 2003]

    A)            \[{{90}^{o}}\]                      

    B)            \[{{60}^{o}}\]

    C)            \[{{75}^{o}}\]                      

    D)            \[{{30}^{o}}\]

    Correct Answer: A

    Solution :

    As \[{{a}_{1}}{{a}_{2}}+{{b}_{1}}{{b}_{2}}=(1)\,(\sqrt{3})+(-\sqrt{3})\,(1)=0\] Lines are perpendicular, \ \[\theta =90{}^\circ \].


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