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 equal to   [Pb. CET 2002]

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

    B)            \[\frac{12}{13}\]

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

    D)            \[\frac{1}{13}\]

    Correct Answer: A

    Solution :

               Perpendicular distance of straight line \[12x+5y-7=0\] from the origin is \[\frac{12\times 0+5\times 0-7}{\sqrt{{{12}^{2}}+{{5}^{2}}}}\] = \[\left| \,\frac{-7}{13}\, \right|\,=\,\frac{7}{13}\].


You need to login to perform this action.
You will be redirected in 3 sec spinner