JEE Main & Advanced Mathematics Pair of Straight Lines Question Bank Equation of Pair of Straight Lines

  • question_answer
    If the lines represented by the equation \[6{{x}^{2}}+41xy-7{{y}^{2}}=0\] make angles \[\alpha \]and \[\beta \] with x-axis, then \[\tan \alpha .\tan \beta \]=

    A)            - 6/7                                         

    B)            6/ 7

    C)            7/6

    D)            - 7/6

    Correct Answer: A

    Solution :

               \[\tan \alpha \tan \beta ={{m}_{1}}{{m}_{2}}=\frac{a}{b}=-\frac{6}{7}\].


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