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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
    Condition that the two lines represented by the  equation \[a{{x}^{2}}+2hxy+b{{y}^{2}}=0\]to be perpendicular is [Kurukshetra CEE 1998; MP PET 2001]

    A)            \[ab=-1\]                               

    B)            \[a=-b\]

    C)            \[a=b\]                                   

    D)            \[ab=1\]

    Correct Answer: B

    Solution :

               Coefficient of \[{{x}^{2}}+\]coefficient of \[{{y}^{2}}=0\]            \[\Rightarrow a+b=0\Rightarrow a=-b\].


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