MCQMediumJEE Main 2024 · 31 January, Shift 2Conic Sections (Parabola, Ellipse, Hyperbola)

Mathematics Question from JEE Main 2024 · 31 January, Shift 2

Let P be a parabola with vertex (2,3)\left(2, 3\right) and directrix 2x+y=62x + y = 6. Let an ellipse E with eccentricity 12\frac{1}{\sqrt{2}} pass through the focus of P. The square of the latus rectum of E is:

  • A

    3858\frac{385}{8}

  • B

    3478\frac{347}{8}

  • C

    51225\frac{512}{25}

  • D

    65625\frac{656}{25}

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