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

  • question_answer
    The lines \[{{a}_{1}}x+{{b}_{1}}y+{{c}_{1}}=0\]and \[{{a}_{2}}x+{{b}_{2}}y+{{c}_{2}}=0\] are perpendicular to each other, if                        [MP PET 1996]

    A)            \[{{a}_{1}}{{b}_{2}}-{{b}_{1}}{{a}_{2}}=0\]                

    B)            \[{{a}_{1}}{{a}_{2}}+{{b}_{1}}{{b}_{2}}=0\]

    C)            \[a_{1}^{2}{{b}_{2}}+b_{1}^{2}{{a}_{2}}=0\]         

    D)            \[{{a}_{1}}{{b}_{1}}+{{a}_{2}}{{b}_{2}}=0\]

    Correct Answer: B

    Solution :

    It is obvious.


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