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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 two straight lines  \[2{{x}^{2}}-5xy+2{{y}^{2}}-3x+3y+1=0\] is

    A)            \[{{45}^{o}}\]                       

    B)            \[{{60}^{o}}\]

    C)            \[{{\tan }^{-1}}\frac{4}{3}\]   

    D)            \[{{\tan }^{-1}}\frac{3}{4}\]

    Correct Answer: D

    Solution :

               \[\theta ={{\tan }^{-1}}\left( \frac{2\sqrt{\frac{25}{4}-4}}{4} \right)={{\tan }^{-1}}\frac{3}{4}\].


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