CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2006

  • question_answer
    The line\[2x-y=1\]bisects angle between two lines. If equation of one line is\[y=x,\]then the equation of the other line is:

    A)  \[7x-y-6=0\]     

    B) \[x-2y+1=0\]

    C)  \[3x-2y-1=0\]

    D)        \[x-7y+6=0\]

    E)         \[2x-3y+1=0\]

    Correct Answer: B

    Solution :

    Let the another equation of line is \[x-2y+1=0.\] \[\therefore \]Equation of bisecting the lines between two lines is \[\frac{2x-y-1}{\sqrt{4+1}}=\pm \frac{x+2y+1}{\sqrt{1+4}}\] \[\Rightarrow \] \[2x-y-1=\pm x-2y+1\] \[\Rightarrow \] \[x+y-2=0\] and \[x=y\]


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