JEE Main & Advanced Mathematics Straight Line Question Bank Angle between two straight lines, Bisector of angle between two lines

  • question_answer
    The angle between the two lines \[y-2x=9\] and \[x+2y=-\ 7,\] is             [RPET 1981, 85, 86; MP PET 1984]

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

    B)            \[{{30}^{o}}\]

    C)            \[{{90}^{o}}\]                      

    D)            \[{{45}^{o}}\]

    Correct Answer: C

    Solution :

    These are perpendicular lines because \[{{m}_{1}}{{m}_{2}}=(2)\left( \frac{-1}{2} \right)=-1\]


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