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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
    A straight line \[(\sqrt{3}-1)x=(\sqrt{3}+1)y\] makes an angle \[{{75}^{o}}\]with another straight line which passes through origin. Then the equation of the line is

    A)            \[x=0\]                                      

    B)            \[y=0\]

    C)            \[x+y=0\]                                

    D)            \[x-y=0\]

    Correct Answer: A

    Solution :

    We know that \[\frac{\sqrt{3}+1}{\sqrt{3}-1}=\tan {{75}^{o}}\] Hence the line makes an angle of \[{{75}^{o}}\]with y- axis, so the equation of y-axis is\[x=0\].


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