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JEE Main & Advanced Mathematics Straight Line Question Bank Slope of line, Equation of line in different forms

  • question_answer
    If the coordinates of A and B be (1, 1) and (5, 7), then the equation of the perpendicular bisector of the line segment AB is

    A)            \[2x+3y=18\]                         

    B)            \[2x-3y+18=0\]

    C)            \[2x+3y-1=0\]                        

    D)            \[3x-2y+1=0\]

    Correct Answer: A

    Solution :

               Mid-point is (3, 4)                    Slope of perpendicular\[=\frac{-1}{6/4}=\frac{-2}{3}\]                    Hence the line is\[2x+3y=18\].


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