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

  • question_answer
    The obtuse angle between the lines \[y=-\ 2\] and \[y=x+2\] is                                                     [RPET 1984]

    A)            \[{{120}^{o}}\]                    

    B)            \[{{135}^{o}}\]

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

    D)            \[{{160}^{o}}\]

    Correct Answer: B

    Solution :

    The gradient of the line \[y=x+2\]is 1. Therefore, it makes an angle of \[{{45}^{o}}\]with x-axis. The second line is parallel to x-axis. Hence the obtuse angle between the lines is\[{{135}^{o}}\].


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