MCQMediumJEE Main 2025 · 28 January, Shift 1Conic Sections (Parabola, Ellipse, Hyperbola)

Mathematics Question from JEE Main 2025 · 28 January, Shift 1

Let ABCD be a trapezium whose vertices lie on the parabola y2=4xy^2 = 4x. Let the sides AD and BC of the trapezium be parallel to the yy-axis. If the diagonal AC is of length 254\frac{25}{4} and it passes through the point (1,0)(1, 0), then the area of ABCD is:

  • A

    1258\frac{125}{8}

  • B

    758\frac{75}{8}

  • C

    252\frac{25}{2}

  • D

    754\frac{75}{4}

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