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

  • question_answer
    To which of the following types the straight lines represented by \[2x+3y-7=0\] and \[2x+3y-5=0\] belong  [MP PET 1982]

    A) Parallel to each other                         

    B) Perpendicular to each other

    C) Inclined at \[{{45}^{o}}\]to each other                                            

    D) Coincident pair of straight lines

    Correct Answer: A

    Solution :

    Let \[{{L}_{1}}\equiv 2x+3y-7=0\]and \[{{L}_{2}}\equiv 2x+3y-5=0\] Here slope of \[{{L}_{1}}=\]slope of\[{{L}_{2}}=-\frac{2}{3}\]. Hence the lines are parallel.


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