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

  • question_answer
    The line passing through the points (3, -4) and   (-2, 6) and a line passing through (-3,6) and (9, -18) are         [AMU 1974]

    A) Perpendicular                                     

    B) Parallel

    C) Makes an angle \[{{60}^{o}}\]with each other

    D) None of these

    Correct Answer: B

    Solution :

    \[{{m}_{1}}=\frac{6+4}{-2-3}=\frac{10}{-5}=-2\] and \[{{m}_{2}}=\frac{-18-6}{9-(-3)}=-2\] Hence the lines are parallel.


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