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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 \[4x+3y=11\] and \[8x+6y=15\], is    [AMU 1979; MNR 1987; UPSEAT 2000]

    A)            \[\frac{7}{2}\]                          

    B)            4

    C)            \[\frac{7}{10}\]                       

    D)            None of these

    Correct Answer: C

    Solution :

               \[4x+3y=11\]and\[4x+3y=\frac{15}{2}\]            Therefore, \[D=\left| \,\frac{11-\frac{15}{2}}{5}\, \right|=\frac{7}{10}\].


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