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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 the points A, B, C be (-1, 5), (0, 0) and (2, 2) respectively and D be the middle point of BC, then the equation of the perpendicular drawn from B to the line AD is

    A) \[x+2y=0\]                              

    B) \[2x+y=0\]

    C) \[x-2y=0\]                                

    D) \[2x-y=0\]

    Correct Answer: C

    Solution :

    Here D (1, 1) therefore equation of line AD is given by\[2x+y-3=0\]. Thus the line perpendicular to AD is \[x-2y+k=0\]and it passes through B, so\[k=0\]. Hence required equation is\[x-2y=0\].


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