Let the eccentricity \(e\) of a hyperbola satisfy the equation \(6 \mathrm{e}^2-11 \mathrm{e} +3=0\). If the foci of the…

Let the eccentricity \(e\) of a hyperbola satisfy the equation \(6 \mathrm{e}^2-11 \mathrm{e} +3=0\). If the foci of the hyperbola are \((3,5)\) and \((3,-4)\), then the length of its latus rectum is:

[JEE Main 2026, 5 Apr (Shift 2)]