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JEE Main & Advanced Sample Paper JEE Main Sample Paper-39

  • question_answer
    A line passes through (2, 2) and is perpendicular to the line \[3x+y=3\] its y intercept is

    A)  \[\frac{1}{3}\]                       

    B)  \[\frac{2}{3}\]

    C)  1                                

    D)  \[\frac{4}{3}\]

    Correct Answer: D

    Solution :

     Line is \[\bot \]to\[3x+y=3\] \[\therefore \]Slope of line, \[m=\frac{1}{3}\] Equation is, \[y=mx+c=\frac{x}{3}+c\] It passes through (2, 2) \[\Rightarrow 2=\frac{2}{3}+c\] \[\Rightarrow c=\frac{4}{3}\]\[\Rightarrow y-\frac{x}{3}=4/3\Rightarrow 3y-x=4\] \[\therefore \] y-intercept = 4 / 3


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