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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 position of the point (8,-9) with respect to the lines \[2x+3y-4=0\] and \[6x+9y+8=0\] is

    A)            Point lies on the same side of the lines

    B)            Point lies on the different sides of the line

    C)            Point lies on one of the line

    D)            None of these

    Correct Answer: A

    Solution :

               \[{{L}_{1}}(8,-9)=2(8)+3(-9)-4=-15\]                    \[{{L}_{2}}(8,-9)=6(8)+9(-9)+8=-25\]                    Hence point lies on same side of the lines.


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