JEE Main & Advanced Mathematics Conic Sections Question Bank Parabola

  • question_answer
    The equation of the lines joining the vertex of the parabola \[{{y}^{2}}=6x\] to the points on it whose abscissa is 24, is

    A)            \[y\pm 2x=0\]                           

    B)            \[2y\pm x=0\]

    C)            \[x\pm 2y=0\]                           

    D)            \[2x\pm y=0\]

    Correct Answer: C

    Solution :

               \[{{y}^{2}}=6.24\]Þ \[y=\pm 12\]            Therefore, the points are \[(24,\,12),\,(24,-12)\]                    Hence lines are \[y=\pm \frac{12}{24}x\Rightarrow 2y=\pm x\].


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