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J & K CET Engineering J and K - CET Engineering Solved Paper-2006

  • question_answer
    The distance between the pair of parallel lines given by \[{{x}^{2}}-1005x+2006=0\]is

    A)  \[1001\]        

    B)  \[1000\]

    C)  \[1005\]         

    D)  \[2006\]

    Correct Answer: A

    Solution :

    Given equation is \[{{x}^{2}}-1005x+2006=0\] \[\Rightarrow \] \[{{x}^{2}}-1003x-2x+2006=0\] \[\Rightarrow \] \[(x-2)(x-1003)=0\] \[\Rightarrow \] \[x=2,\,\,x=1003\] \[\therefore \] Required distance between the lines \[=1003-2=1001\]


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