JEE Main & Advanced Mathematics Conic Sections Question Bank Parabola

  • question_answer
    The points on the parabola \[{{y}^{2}}=12x\] whose focal distance is 4, are

    A)            \[(2,\ \sqrt{3}),\ (2,\ -\sqrt{3})\]     

    B)            \[(1,\ 2\sqrt{3}),\ (1,-2\sqrt{3})\]

    C)            (1, 2)                                         

    D)            None of these

    Correct Answer: B

    Solution :

               \[a=3\] Þ abscissa is \[4-3=1\] and \[{{y}^{2}}=12,\ y=\pm 2\sqrt{3}\].                    Hence points are \[(1,2\sqrt{3}),\,(1,-2\sqrt{3})\].


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