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

  • question_answer
    The line passes through (1, 0) and \[(-\ 2,\ \sqrt{3})\] makes an angle of ...... with x?axis                                           [RPET 1985]

    A)            \[{{60}^{o}}\]                      

    B)            \[{{120}^{o}}\]

    C)            \[{{150}^{o}}\]                    

    D)            \[{{135}^{o}}\]

    Correct Answer: C

    Solution :

    Gradient of the line which passes through (1, 0) and \[(-2,\,\sqrt{3})\] is \[m=\frac{\sqrt{3}-0}{-2-1}=-\frac{1}{\sqrt{3}}\] Þ \[\theta ={{\tan }^{-1}}\left( -\frac{1}{\sqrt{3}} \right)={{150}^{o}}\].


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