The point \(P\) lies on the ellipse with equation \( x^2+ay^2=2025\).
\(P\) is reflected in the \(x\)-axis to give point \(P’\), and both \(P\) and \(P’\) are reflected in the \(y\)-axis.
These four points are corners of a rectangle as shown.
If the maximum possible value of the area of a rectangle formed in this way is \(2000\) square units, what is the value of \(a\) (to 4 d.p.)?
Please login to submit answer.