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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 sum of the slopes of the lines represented by the equation \[{{x}^{2}}-2xy\tan A-{{y}^{2}}=0\]be 4, then \[\angle A=\]

    A)             \[{{0}^{o}}\]                        

    B)             \[{{45}^{o}}\]

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

    D)            \[{{\tan }^{-1}}(-2)\]

    Correct Answer: D

    Solution :

               \[{{m}_{1}}+{{m}_{2}}=\frac{2\tan A}{-1}=4\]            \[\Rightarrow \tan A=-2\Rightarrow \angle A={{\tan }^{-1}}(-2)\] .


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