CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2008

  • question_answer
    If a line with y-intercept 2, is perpendicular to the line\[3x-2y=6,\]then its\[x-\]intercept is

    A)  1                            

    B)         2

    C)  \[-4\]                   

    D)         4

    E)  3

    Correct Answer: E

    Solution :

    Let the equation of perpendicular line to the line\[3x-2y=6\]is\[3y+2x=c\] Since, it passes through (0, 2) \[\therefore \]  \[6=c\] \[\therefore \]  \[3y+2x=6\] \[\Rightarrow \]               \[\frac{x}{3}+\frac{y}{2}=1\] Hence, \[x-\]intercept is 3.


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