Distance between the focus of standard ellipse and hyperbola is \(2 \sqrt{3}\), ratios of there eccentricity being 1:3. …

Distance between the focus of standard ellipse and hyperbola is \(2 \sqrt{3}\), ratios of there eccentricity being 1:3. Difference of length of their semi-major axis and semi transverse axis is 2 then find sum of length of their latus rectum? (22 Jan, Shift II, Memory Based)