JEE Main & Advanced Mathematics Straight Line Question Bank Slope of line, Equation of line in different forms

  • question_answer
    If  the co-ordinates of the points A and B be (1, 0) and \[(2,\sqrt{3})\], then the angle made by the line AB with x-axis is

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

    B)            \[{{45}^{o}}\]

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

    D)            \[{{75}^{o}}\]

    Correct Answer: C

    Solution :

               Slope of the line is, \[\tan \theta =\frac{{{y}_{2}}-{{y}_{1}}}{{{x}_{2}}-{{x}_{1}}}=\frac{\sqrt{3}-0}{2-1}\] \[=\sqrt{3}\]                    Þ \[\theta ={{\tan }^{-1}}\sqrt{3}={{60}^{o}}\].


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