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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 between two parallel lines \[3x+4y-8=0\]and \[3x+4y-3=0\], is given by                            [MP PET 1984]

    A)            4    

    B)            5

    C)            3    

    D)            1

    Correct Answer: D

    Solution :

               Let the distance of both lines are \[{{p}_{1}}\] and \[{{p}_{2}}\] from origin, then \[{{p}_{1}}=-\frac{8}{5}\]and \[{{p}_{2}}=-\frac{3}{5}\]. Hence distance between both the lines \[=|{{p}_{1}}\tilde{\ }{{p}_{2}}|=\frac{5}{5}=1\].


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