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JEE Main & Advanced Mathematics Conic Sections Question Bank Parabola

  • question_answer
    If the vertex of the parabola \[y={{x}^{2}}-8x+c\] lies on x-axis, then the value of c is

    A) -16 

    B) -4

    C) 4     

    D) 16

    Correct Answer: D

    Solution :

    The given equation can be written as \[{{(x-4)}^{2}}=y-(c-16).\] Therefore the vertex of the parabola is \[(4,\,c-16)\]. The point lies on \[x-\]axis.                    \[\therefore c-16=0\Rightarrow c=16\].


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