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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 of the point (-2, 3) from the line \[x-y=5\]is [MP PET 2001]

    A)            \[5\sqrt{2}\]                             

    B)            \[2\sqrt{5}\]

    C)            \[3\sqrt{5}\]                             

    D)            \[5\sqrt{3}\]

    Correct Answer: A

    Solution :

    \[p=\left| \frac{-2-3-5}{\sqrt{1+1}} \right|=\frac{10}{\sqrt{2}}=5\sqrt{2}\].


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