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 points (3, 4) and (2, ?6) with respect to the line \[3x-4y=8\] are       [Roorkee 1972; MP PET 1984]

    A)            On the same side of the line

    B)            On different side of the line

    C)            One point on the line and the other outside the line

    D)            Both point on the line

    Correct Answer: B

    Solution :

               \[L\equiv 3x-4y-8=0\]                    \[{{L}_{(3,4)}}=9-16-8<0\] and\[{{L}_{(2,-6)}}=6+24-8>0\]                    Hence, the points lie on different side of the line.


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