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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
    Choose the correct statement which describe the position of the point (?6, 2) relative to straight lines \[2x+3y-4=0\] and \[6x+9y+8=0\]                              [MP PET 1983]

    A)            Below both the lines                

    B)            Above both the lines

    C)            In between the lines                 

    D)            None of these

    Correct Answer: A

    Solution :

               \[L\equiv 2x+3y-4=0\], \[{{L}_{(-6,2)}}=-12+6-4<0\]                    \[L'=6x+9y+8=0\], \[L{{'}_{(-6,2)}}=-36+18+8<0\]                    Hence the point is below both the lines..


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