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JEE Math Practice Question

Let ABCD be a trapezium whose vertices lie on the parabola $\mathrm{y}^2=4 \mathrm{x}$. 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 $A B C D$ is

  1. A.$\frac{75}{8}$
  2. B.$\frac{125}{8}$
  3. C.$\frac{25}{2}$
  4. D.$\frac{75}{4}$

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