jee-main 2025 Q3

jee-main · India · session1_28jan_shift1 Conic sections Triangle or Quadrilateral Area and Perimeter with Foci

Let $ABCD$ be a trapezium whose vertices lie on the parabola $y ^ { 2 } = 4 x$. 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 $ABCD$ is
(1) $\frac { 75 } { 4 }$
(2) $\frac { 25 } { 2 }$
(3) $\frac { 125 } { 8 }$
(4) $\frac { 75 } { 8 }$

Let $ABCD$ be a trapezium whose vertices lie on the parabola $y ^ { 2 } = 4 x$. 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 $ABCD$ is\\
(1) $\frac { 75 } { 4 }$\\
(2) $\frac { 25 } { 2 }$\\
(3) $\frac { 125 } { 8 }$\\
(4) $\frac { 75 } { 8 }$

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