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Jee Main 2025 — Medium JEE math MCQ

Let \( ABCD \) be a trapezium whose vertices lie on the parabola \( y^2 = 4x \). Let the sides \( AD \) and \( BC \) of the trapezium be parallel to \( y \)-axis. If the diagonal \( AC \) is of length \( \frac{25}{4} \) and it passes through the point \( (1, 0) \), then the area of \( ABCD \) is
  1. A. \( \frac{73}{8} \)
  2. B. \( \frac{25}{9} \)
  3. C. \( \frac{16}{8} \)
  4. D. \( \frac{75}{8} \)

Solution

The correct option is **A**. (A. \( \frac{73}{8} \))

MATH

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