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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
    If the angle between the two lines represented by \[2{{x}^{2}}+5xy+3{{y}^{2}}+6x+7y+4=0\] is \[{{\tan }^{-1}}m\], then \[m=\]  [MNR 1993]

    A)            1/5

    B)            1

    C)            7/5

    D)            7

    Correct Answer: A

    Solution :

               Angle \[={{\tan }^{-1}}\left( \frac{2\sqrt{\frac{25}{4}-6}}{2+3} \right)={{\tan }^{-1}}\left( \frac{1}{5} \right)\]and it is given by \[{{\tan }^{-1}}m\]. Hence \[m=\frac{1}{5}\].


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