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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 pair of lines represented by \[2{{x}^{2}}-7xy+3{{y}^{2}}=0\], is                                  [Kurukshetra CEE 2002]

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

    B)            \[{{45}^{o}}\]

    C)            \[{{\tan }^{-1}}\left( \frac{7}{6} \right)\]                     

    D)            \[{{30}^{o}}\]

    Correct Answer: A

    Solution :

               \[\tan \theta =\frac{2\sqrt{{{(-7/2)}^{2}}-6}}{5}\] Þ \[\tan \theta =1\] Þ \[\theta ={{45}^{o}}.\]


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