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 $rac{25}{4}$ and it passes through the point $(1, 0)$, then the area of ABCD is :

Question

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 $rac{25}{4}$ and it passes through the point $(1, 0)$, then the area of ABCD is :

Accepted Answer

$rac{75}{4}$

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Questions

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 $rac{25}{4}$ and it passes through the point $(1, 0)$ , then the area of ABCD is :

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Let ABCD be a trapezium whose vertices lie on the parabola y2=4xy^2 = 4xy2=4x. Let the sides AD and BC of the trapezium be parallel to y-axis. If the diagonal AC is of length rac{25}{4} and it passes through the point (1,0)(1, 0)(1,0), then the area of ABCD is :

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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 $rac{25}{4}$ and it passes through the point $(1, 0)$ , then the area of ABCD is :