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  3. CEE Kerala Engineering

CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2003

  • question_answer
    If the line\[x+y-1=0\]is a tangent to the parabola\[{{y}^{2}}-y+x=0,\]then the point of contact is:

    A)  (0, 1)                    

    B)         \[(1,0)\]

    C)  \[(0,-1)\]            

    D)         \[(-1,0)\]

    E)  \[(0,-1)\]

    Correct Answer: A

    Solution :

    \[\because \]\[x+y-1=0\]is a tangent to the parabola \[{{y}^{2}}-y+x=0,\]then point of contact is satisfied by these equations. Therefore the point (0, 1) satisfies it.


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