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JEE Main & Advanced Mathematics Pair of Straight Lines Question Bank Angle between the pair of straight lines, Condition for parallel and perpendicular lines

  • question_answer
    The angle between the lines represented by the equation \[\lambda {{x}^{2}}+{{(1-\lambda )}^{2}}xy-\lambda {{y}^{2}}=0\], is

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

    B)            \[{{45}^{o}}\]

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

    D)            \[{{90}^{o}}\]

    Correct Answer: D

    Solution :

               \[\tan \theta =\frac{2\sqrt{{{\left[ \frac{{{(1-\lambda )}^{2}}}{2} \right]}^{2}}+{{\lambda }^{2}}}}{\lambda -\lambda }\Rightarrow \theta =90{}^\circ \].


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