JEE Main & Advanced Mathematics Conic Sections Question Bank Parabola

  • question_answer
    Focus and directrix of the parabola \[{{x}^{2}}=-8ay\] are [RPET 2001]

    A)            \[(0,\ -2a)\ \text{and}\ y=2a\]

    B)            \[(0,\ 2a)\ \text{and}\ y=-2a\]

    C)            \[(2a,\ 0)\ \text{and}\ x=-2a\] 

    D)            \[(-2a,\ 0)\ \text{and}\ x=2a\]

    Correct Answer: A

    Solution :

               Given equation is \[{{x}^{2}}=-8\,ay.\] Here \[A=2a\]            Focus of parabola \[(0,\,-A)\] i.e. (0, ? 2a)            Directrix y = A i.e., y = 2a.


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