Let \(P(10,2 \sqrt{15})\) be a point on the hyperbola \(\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\), whose foci are \(S\) and \(…

Let \(P(10,2 \sqrt{15})\) be a point on the hyperbola \(\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\), whose foci are \(S\) and \(S^{\prime}\). If the length of its latus rectum is \(8\), then the square of the area of \(\triangle P S S^{\prime}\) is equal to

[JEE Main 2026, 22 Jan (Shift 2)]