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JEE Main & Advanced Mathematics Conic Sections Question Bank Parabola

  • question_answer
    A parabola passing through the point \[(-4,\ -2)\] has its vertex at the origin and y-axis as its axis. The latus rectum of the parabola is

    A)            6     

    B)            8

    C)            10   

    D)            12

    Correct Answer: B

    Solution :

               Let the equation of parabola is \[{{x}^{2}}=4ay\], but \[a=\frac{4}{-2}\]=\[-2\]. Then equation is \[{{x}^{2}}=-8y\] and latus rectum \[=4a=8\].


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