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Parabola question

2025 · 28 Jan · Shift 1 · Q37

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PYQ Library
JEE Main
Mathematics
Parabola
2025 · 28 Jan · Shift 1 · Q37

Parabola question

2025 · 28 Jan · Shift 1 · Q37

JEE MainMathematicsParabolaMCQ+4 / −1

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

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

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