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

  • question_answer
    The equation of the straight line passing through the point (3, 2) and perpendicular to the line y = x is                  [MNR 1979]

    A)            \[x-y=5\]                                  

    B)            \[x+y=5\]

    C)            \[x+y=1\]                                

    D)            \[x-y=1\]

    Correct Answer: B

    Solution :

               Let the required equation is \[y=-x+c\] which is perpendicular to \[y=x\] and passes through (3, 2). So \[2=-3+c\Rightarrow c=5\]. Hence required equation is\[x+y=5\].


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