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 distance between the lines \[3x-2y=1\]and \[6x+9=4y\] is                                                           [MP PET 1998]

    A)            \[\frac{1}{\sqrt{52}}\]              

    B)            \[\frac{11}{\sqrt{52}}\]

    C)            \[\frac{4}{\sqrt{13}}\]              

    D)            \[\frac{6}{\sqrt{13}}\]

    Correct Answer: B

    Solution :

               \[\therefore \] Distance between two lines = \[bx+cy-a=0\]                     \[\Rightarrow \]\[d=\frac{11}{2\sqrt{13}}=\frac{11}{\sqrt{52}}\].


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