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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 point (-2, 3) from the line \[x-y=5\]is [Pb. CET 2001]

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

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

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

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

    Correct Answer: A

    Solution :

    Distance of point (-2, 3) from the line \[x-y=5\] is \[\left| \,\frac{-2-3-5}{\sqrt{2}}\, \right|\] = \[\left| \,\frac{-10}{\sqrt{2}}\, \right|\] = \[5\sqrt{2}\].


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