A wall is inclined to the floor at an angle of $135^{\circ}$. A ladder of length $l$ is resting on the wall. As the ladder slides down, its mid-point traces an arc of an ellipse. Then, the area of the ellipse is
A wall is inclined to the floor at an angle of $135^{\circ}$. A ladder of length $l$ is resting on the wall. As the ladder slides down, its mid-point traces an arc of an ellipse. Then, the area of the ellipse is
- [KVPY 2016]
- A
$\frac{\pi l^2}{4}$
- B
$\pi l^2$
- C
$4 \pi l^2$
- D
$2 \pi l^2$
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- [JEE MAIN 2023]
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