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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
    Acute angle between the lines represented by \[({{x}^{2}}+{{y}^{2}})\sqrt{3}=4xy\] is                                   [MP PET 1992]

    A)            \[\pi /6\]                                

    B)            \[\pi /4\]

    C)            \[\pi /3\]                                

    D)            None of these

    Correct Answer: A

    Solution :

               \[\tan \theta =\pm \frac{2\sqrt{4-3}}{2\sqrt{3}}=\frac{1}{\sqrt{3}}\]or\[\theta =30{}^\circ \]            Hence, acute angle is 30° or\[\frac{\pi }{6}\].


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