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

  • question_answer
    A line passes through (2, 2) and is perpendicular to the line \[3x+y=3.\] Its y?intercept is                        [IIT Screening 1992]

    A)            \[1/3\]                                        

    B)            \[2/3\]

    C)            1    

    D)            \[4/3\]

    Correct Answer: D

    Solution :

               The equation of a line passing through (2, 2) and perpendicular to \[3x+y=3\] is \[y-2=\frac{1}{3}(x-2)\] or \[x-3y+4=0\].                    Putting \[x=0\]in this equation, we obtain \[y=4/3\].                    So, y-intercept \[=4/3\].


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