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 \[{{x}^{2}}-2pxy+{{y}^{2}}=0\], is      

    A)            \[{{\sec }^{-1}}p\]              

    B)            \[{{\cos }^{-1}}p\]

    C)            \[{{\tan }^{-1}}p\]              

    D)            None of these

    Correct Answer: A

    Solution :

               \[\tan \theta =\frac{\pm 2\sqrt{{{p}^{2}}-1}}{1+1}=\pm \sqrt{{{p}^{2}}-1}\Rightarrow \theta ={{\sec }^{-1}}p\].


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