JEE Main & Advanced Mathematics Straight Line Question Bank Distance between two lines, Perpendicular distance of the line from a point Position of point w.r.t. line

  • question_answer
    The perpendicular distance of the straight line \[12x+5y=7\] from the origin is given by                                           [MP PET 1993]

    A)            \[\frac{7}{13}\]                       

    B)            \[\frac{12}{13}\]

    C)            \[\frac{5}{13}\]                       

    D)            \[\frac{1}{13}\]

    Correct Answer: A

    Solution :

               Required distance =\[\frac{7}{\sqrt{{{(12)}^{2}}+{{5}^{2}}}}=\frac{7}{13}\].


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